BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:A degenerate Cahn-Hilliard model as constrained Wasserstein gradie
nt flow
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3228@indico.math.cnrs.fr
DESCRIPTION:Speakers: Clément Cancès (Inria Lille)\nhttps://indico.math.
cnrs.fr/event/2915/contributions/3228/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3228/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Implicit kinetic relaxation schemes. Application of plasma physics
models
DTSTART;VALUE=DATE-TIME:20180831T081500Z
DTEND;VALUE=DATE-TIME:20180831T085000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3220@indico.math.cnrs.fr
DESCRIPTION:Speakers: Emmanuel Franck (INRIA)\nIn this work we consider PD
E models used in plasmas physic like MHD or Vlasov equations.\nThe key poi
nt to solve the kinetic Vlasov equation is the Semi Lagrangian Solver\, wh
ich is a high-order\, CFL less and Matrix-free solver for the transport eq
uation.\nThe other models present in plasma physic like MHD\, anisotropic
equation or Poisson solver can be written like approximated BGK models.\nF
or each type of model we will present the different BGK models used to app
roximate the different physical equations. After that we will propose a hi
gh-order asymptotic-preserving scheme in time based on spitting approach.
Using this\, we obtain a full semi-Lagrangian solver (or other implicit so
lver for the advection equation) for all the type of models in plasmas phy
sics.\nWe will illustrate this by some numerical results.\n\nhttps://indic
o.math.cnrs.fr/event/2915/contributions/3220/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3220/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An asymptotic-preserving and well-balanced scheme for the shallow-
water equations with Manning friction
DTSTART;VALUE=DATE-TIME:20180828T150000Z
DTEND;VALUE=DATE-TIME:20180828T153500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3199@indico.math.cnrs.fr
DESCRIPTION:Speakers: Solène Bulteau (Université de Nantes)\nhttps://ind
ico.math.cnrs.fr/event/2915/contributions/3199/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3199/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Critical singularities in the higher dimensional minimal Keller-Se
gel model
DTSTART;VALUE=DATE-TIME:20180828T141500Z
DTEND;VALUE=DATE-TIME:20180828T150000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3221@indico.math.cnrs.fr
DESCRIPTION:Speakers: Piotr Biler (Uniwersytet Wrocławski)\nExistence of
global in time radially symmetric solutions is studied for "large" initial
data.\nCriteria for blowup of solutions in terms of Morrey norms are deri
ved.\n\nhttps://indico.math.cnrs.fr/event/2915/contributions/3221/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3221/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benchmark of asymptotic preserving schemes for the hyperbolic to d
iffusive degeneracy
DTSTART;VALUE=DATE-TIME:20180829T102000Z
DTEND;VALUE=DATE-TIME:20180829T105500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3205@indico.math.cnrs.fr
DESCRIPTION:Speakers: Florian Blachère (Université de technologie de Tro
yes)\nhttps://indico.math.cnrs.fr/event/2915/contributions/3205/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3205/
END:VEVENT
BEGIN:VEVENT
SUMMARY:About the equilibria of a cross-diffusion system in population dyn
amics
DTSTART;VALUE=DATE-TIME:20180829T091000Z
DTEND;VALUE=DATE-TIME:20180829T094500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3203@indico.math.cnrs.fr
DESCRIPTION:Speakers: Maxime Breden (Technical University of Munich)\nhttp
s://indico.math.cnrs.fr/event/2915/contributions/3203/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3203/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Spectral theory of a transport equation with elastic and inelastic
collision operators
DTSTART;VALUE=DATE-TIME:20180830T153000Z
DTEND;VALUE=DATE-TIME:20180830T160500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3218@indico.math.cnrs.fr
DESCRIPTION:Speakers: Abdul Majeed Al Izeri (Laboratoire de Mathématiques
Blaise Pascal)\nhttps://indico.math.cnrs.fr/event/2915/contributions/3218
/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3218/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Equilibration in Wasserstein distance of partially damped Euler eq
uations
DTSTART;VALUE=DATE-TIME:20180830T131500Z
DTEND;VALUE=DATE-TIME:20180830T135000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3215@indico.math.cnrs.fr
DESCRIPTION:Speakers: Oliver Tse (Eindhoven University of Technology)\nWe
discuss ideas and tools to construct Lyapunov functionals on the space of
probability measures to investigate convergence to global equilibrium of p
artially damped Euler equations under the influence of external and intera
ction potential forces with respect to the 2-Wasserstein distance.\n\nhttp
s://indico.math.cnrs.fr/event/2915/contributions/3215/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3215/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Convergence analysis of a numerical scheme for a general class of
Mean field Equation
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3229@indico.math.cnrs.fr
DESCRIPTION:Speakers: Neelabja Chatterjee (University of Oslo)\nA widely u
sed prototype phase model to describe the synchronous behavior of weakly c
oupled limit-cycle oscillators is the Kuramoto model whose dynamics for su
fficiently large ensemble of oscillators can be effectively approximated b
y the corresponding mean-field equation ’the Kuramoto Sakaguchi Equation
’. In the recent past\, it has been extensively studied to analyze the p
hase transition of between different kind of ordered states.In the talk\,
we are going to derive and analyze a numerical method for a general class
of mean-field equations\, including the Kuramoto Sakaguchi equation. Along
the way\, we will prove the strong convergence of the scheme to the uniqu
e weak solution whenever the initial datum has bounded variation. We also
show convergence in the sense of measures\, thereby relaxing the assumptio
n of bounded variation. The theoretical results will be verified with seve
ral numerical experiments.\n\nThis is a joint work with U. S. Fjordholm.\n
\nhttps://indico.math.cnrs.fr/event/2915/contributions/3229/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3229/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An asymptotic-preserving scheme for a kinetic equation describing
propagation phenomena
DTSTART;VALUE=DATE-TIME:20180829T094500Z
DTEND;VALUE=DATE-TIME:20180829T102000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3204@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hélène Hivert (Ecole Centrale de Lyon)\nThe run-an
d-tumble motion of bacteria such as E. coli can be represented by a nonlin
ear kinetic equation. It will be considered under an hyperbolic scaling\,
and rewritten using the Hopf-Cole transform of the distribution function.
It has been shown that the asymptotic model is either a Hamilton-Jacobi eq
uation in which the Hamiltonian is implicitely defined\, or a non-local Ha
milton-Jacobi-like equation. \n\nSince the kinetic equation becomes a stif
f problem when reaching the asymptotic\, its numerical computation must be
performed with care to avoid instabilities when reaching it. Asymptotic P
reserving (AP) schemes have been introduced to avoid these difficulties\,
since they enjoy the property of being stable along the transition towards
the asymptotic regime. \n\nI will present an AP scheme for this nonlinear
kinetic equation\, which is based on a formal asymptotic analysis of the
problem. The discretization of the limit Hamilon-Jacobi equation will also
be discussed.\n\nhttps://indico.math.cnrs.fr/event/2915/contributions/320
4/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3204/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Segregation phenomena in population dynamics
DTSTART;VALUE=DATE-TIME:20180828T120000Z
DTEND;VALUE=DATE-TIME:20180828T124500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3194@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marie-Thérèse Wolfram (University of Warwick)\nIn
this talk we consider two large groups of interacting agents\, whose dynam
ics are influenced by the overall perceived density. Such dynamics can be
used to describe two pedestrian groups\, walking in opposite directions. O
r to model the relocation behavior of two distinct populations\, which hav
e a preference to stay within their own group.\n\nWe discuss the mathemati
cal modeling in different applications as well as the corresponding PDE mo
dels. Furthermore we analyze the long term behavior of solutions and show
that already minimal interactions can lead to segregation. Finally we conf
irm our analytical results and illustrate the rich dynamics with numerical
experiments.\n\nhttps://indico.math.cnrs.fr/event/2915/contributions/3194
/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3194/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Swarming models with local alignment effects: phase transitions &
hydrodynamics
DTSTART;VALUE=DATE-TIME:20180829T123000Z
DTEND;VALUE=DATE-TIME:20180829T131500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3206@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jose Antonio Carrillo de la Plata (Imperial College
London)\nWe will discuss a collective behavior model in which individuals
try to imitate each other’s velocity and have a preferred asymptotic spe
ed. It is a variant of the well-known Cucker-Smale model in which the alig
nment term is localized. We showed that a phase change phenomenon takes pl
ace as diffusion decreases\, bringing the system from a ``disordered'' to
an ``ordered'' state. This effect is related to recently noticed phenomena
for the diffusive Vicsek model. We analysed the expansion of the large fr
iction limit around the limiting Vicsek model on the sphere leading to the
so-called Self-Organized Hydrodynamics (SOH). This talk is based on paper
s in collaboration with Bostan\, and with Barbaro\, Cañizo and Degond.\n\
nhttps://indico.math.cnrs.fr/event/2915/contributions/3206/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3206/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Particle Micro-Macro schemes for collisional kinetic equations in
the diffusive scaling
DTSTART;VALUE=DATE-TIME:20180831T073000Z
DTEND;VALUE=DATE-TIME:20180831T081500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3219@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anaïs Crestetto (Laboratoire de Mathématiques Jean
Leray)\nIn this talk\, I will present a new asymptotic preserving scheme
for kinetic equations of Boltzmann-BGK type in the diffusive scaling. The
scheme is a suitable combination of micro-macro decomposition\, the micro
part being discretized by a particle method\, and Monte Carlo techniques.
Thanks to the Monte Carlo particle approximation\, the computational cost
of the method automatically reduces when the system approaches the diffusi
ve limit. However\, this approximation requires a splitting between the tr
ansport part and the collisional one\, so that both stiff terms can not of
fset each other a priori\, which prevents from uniform stability. That is
why we propose a suitable reformulation of the micro-macro system\, withou
t stiff terms. The scheme will be presented in detail and illustrated by s
everal numerical results (including in the 3D in space - 3D in velocity fr
amework).\nThis work is a collaboration with Nicolas Crouseilles\, Giacomo
Dimarco and Mohammed Lemou.\n\nhttps://indico.math.cnrs.fr/event/2915/con
tributions/3219/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3219/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Time asymptotic behavior for singular neutron transport equation w
ith bounce-back boundary conditions in L1 spaces
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3230@indico.math.cnrs.fr
DESCRIPTION:Speakers: Youssouf Kosad (Université de Djibouti)\nhttps://in
dico.math.cnrs.fr/event/2915/contributions/3230/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3230/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A second-order numerical method for aggregation equations
DTSTART;VALUE=DATE-TIME:20180829T073000Z
DTEND;VALUE=DATE-TIME:20180829T081500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3200@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ulrik Skre Fjordholm (University of Oslo)\nInspired
by so-called TVD limiter-based second-order schemes for hyperbolic conserv
ation laws\, we develop a second-order accurate numerical method for multi
-dimensional aggregation equations. The method allows for simulations to b
e continued after the first blow-up time of the solution. In the case of s
ymmetric\, lambda-convex potentials with a possible Lipschitz singularity
at the origin we prove that the method converges in the Monge--Kantorovich
distance towards the unique gradient flow solution. This is joint work wi
th José A. Carrillo and Susanne Solem.\n\nhttps://indico.math.cnrs.fr/eve
nt/2915/contributions/3200/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3200/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A finite-volume scheme for a degenerate cross-diffusion model moti
vated from ion transport
DTSTART;VALUE=DATE-TIME:20180828T124500Z
DTEND;VALUE=DATE-TIME:20180828T132000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3196@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anita Gerstenmayer (Vienna University of Technology)
\nAn implicit Euler finite-volume scheme for a degenerate cross-diffusion
system describing the ion transport through biological membranes is propos
ed. We consider the model developed in [1] for describing size exclusion e
ffects in narrow channels. The strongly coupled equations for the ion conc
entrations include drift terms involving the electric potential\, which is
coupled to the concentrations through a Poisson equation. The cross-diffu
sion system possesses a formal gradient-flow structure revealing nonstanda
rd degeneracies\, which lead to considerable mathematical difficulties.\nT
he proposed finite-volume scheme is based on two-point flux approximations
with "double" upwind mobilities. The existence of solutions to the fully
discrete scheme is proved. When the particles are not distinguishable and
the dynamics are driven by cross-diffusion only\, it is shown that the sch
eme preserves the structure of the equations like nonnegativity\, upper bo
unds\, and entropy dissipation. The degeneracy is overcome by proving a ne
w discrete Aubin-Lions lemma of "degenerate" type. Numerical simulations o
f a calcium-selective ion channel in two space dimensions show that the sc
heme is efficient even in the general case of ion transport.\n\nThis is a
joint work with C. Cancès (Inria Lille)\, C. Chainais-Hillairet (Univ. Li
lle) and A. Jüngel (TU Wien).\n\n\nReferences\n\n[1] M. Burger\, B. Schla
ke\, and M.-T. Wolfram\, Nonlinear Poisson-Nernst-Planck equations for ion
flux through confined geometries\, Nonlinearity 25 (2012) pp. 961-990.\n\
n[2] C. Cancès\, C. Chainais-Hillairet\, A. Gerstenmayer and A. Jüngel\,
Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Mo
del for Ion Transport\, submitted\, arXiv:1801.09408.\n\n[3] A. Gerstenmay
er and A. Jüngel\, Analysis of a degenerate parabolic cross-diffusion sys
tem for ion transport\, submitted\, arXiv:1706.07261.\n\nhttps://indico.ma
th.cnrs.fr/event/2915/contributions/3196/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3196/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Flux vector approximation schemes for systems of conservation laws
DTSTART;VALUE=DATE-TIME:20180829T081500Z
DTEND;VALUE=DATE-TIME:20180829T085000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3202@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jan ten Thije Boonkkamp (Eindhoven University of Tec
hnology)\nConservation laws in continuum physics are often coupled\, for e
xample the continuity equations for a reacting gas mixture or a plasma are
coupled through multi-species diffusion and a complicated reaction mechan
ism. For space discretisation of these equations we employ the finite volu
me method. The purpose of this talk is to present novel flux vector approx
imation schemes that incorporate this coupling in the discretisation. More
specifically\, we consider as model problems linear advection-diffusion s
ystems with a nonlinear source and linear diffusion-reaction systems\, als
o with a nonlinear source.\nThe new flux approximation schemes are inspire
d by the complete flux scheme for scalar equations\, see [1]. An extension
to systems of equations is presented in [2]. The basic idea is to compute
the numerical flux vector at a cell interface from a local inhomogeneous
ODE-system\, thus including the nonlinear source. As a consequence\, the n
umerical flux vector is the superposition of a homogeneous flux\, correspo
nding to the homogeneous ODE-system\, and an inhomogeneous flux\, taking i
nto account the effect of the nonlinear source. The homogeneous ODE-system
is either an advection-diffusion system or a diffusion-reaction system. I
n the first case\, the homogeneous flux contains only real-valued exponent
ials\, on the other hand\, in the second case\, also complex-valued compon
ents are possible\, generating oscillatory solutions. The inclusion of the
inhomogeneous flux makes that all schemes display second order convergenc
e\, uniformly in all parameters (Peclet and Damköhler numbers).\nThe perf
ormance of the novel schemes is demonstrated for several test cases\, more
over\, we investigate several limiting cases.\n\nThis is a joint work with
J. van Dijk and R.A.M. van Gestel (Department of Applied Physics\, Eindho
ven University of Technology).\n\n\nReferences\n\n[1] J.H.M. ten Thije Boo
nkkamp and M.J.H. Anthonissen\, The finite volume-complete flux scheme for
advection-diffusion-reaction equations\, J. Sci. Comput. 46 (2011) pp. 47
-70.\n\n[2] J.H.M. ten Thije Boonkkamp\, J. van Dijk\, L. Liu and K.S.C. P
eerenboom\, Extension of the complete flux scheme to systems of comservati
on laws\, J. Sci. Comput. 53 (2012)\, pp. 552-568.\n\nhttps://indico.math.
cnrs.fr/event/2915/contributions/3202/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3202/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A kinetic approach to the bi-temperature Euler model
DTSTART;VALUE=DATE-TIME:20180830T081500Z
DTEND;VALUE=DATE-TIME:20180830T085000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3210@indico.math.cnrs.fr
DESCRIPTION:Speakers: Corentin Prigent (Université de Bordeaux)\nThe aim
of this work is the study of out-of-equilibirum plasma physics. It is a mu
ltiscale problem involving both very small lengths (Debye length) and high
frequency oscillations (electronic plasma frequency). Transport of charge
d particles (electrons and ions) in context of Inertial Confinement Fusion
(ICF) can be modelled by the bi-temperature Euler equations\, which are a
non-conservative hyperbolic system. It contains so-called non-conservativ
es terms\, which cannot be put in divergential form. Such terms are not we
ll-defined\, and\, in situations involving shocks\, computing exact or app
roximated solutions is a challenging issue.\nThe bi-temperature Euler mode
l can be recovered by using a ChapmanEnskog expansion on an underlying kin
etic approach of this system\, the Vlasov-BGK-Ampère system\, which is co
nservative. We are interested in the numerical resolution of this kinetic
model\, in a macroscopic setting. Hence\, a scaling is performed on this m
odel in order to exhibit the behaviour of the system in large scale config
urations. The\nmajor issue of such a system is that the Maxwell equations
are describing small scale electromagnetics. At the macroscopic level\, th
ese equations degenerate into algebraic relations\, preventing their use f
or computation purposes. Hence\, we derive an Asymptotic-Preserving numeri
cal method\, which is able to solve the system even when these small scale
s (Debye length\, electronic plasma frequency) are not resolved\, i.e ∆t
\, ∆x ε\, with ε → 0 [2].\nNumerical test cases are studied. Severa
l well-known Riemann problems are solved with our method and then compared
with methods for the macroscopic bi-temperature Euler model\, derived in
[1].\n\n\nReferences\n\n[1] D. Aregba-Driollet\, J. Breil\, S. Brull\, B.
Dubroca and E. Estibals\, Modelling and numerical approximation for the no
nconservative bi-temperature Euler model\, Math. Model. Numer. Anal. (2017
)\, DOI 10.1051/m2an/2017007\n\n[2] S. Jin\, Efficient asymptotic-preservi
ng (AP) schemes for some multiscale kinetic equations\, SIAM J. Sci. Compu
t. 21-2 (1999)\, pp. 441-454.\n\nhttps://indico.math.cnrs.fr/event/2915/co
ntributions/3210/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3210/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Motion of Several Disks in an Unbounded Viscous Incompressi
ble Fluid
DTSTART;VALUE=DATE-TIME:20180829T131500Z
DTEND;VALUE=DATE-TIME:20180829T135000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3207@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lamis Sabbagh (Université de Montpellier)\nIn this
talk\, we will present a recent result on fluid solid interaction problem.
We consider the system formed by the incompressible Navier Stokes equatio
ns coupled with Newton’s laws to describe the motion of a finite number
of homogeneous rigid disks within a viscous homogeneous incompressible flu
id in the whole space R2 . The motion of the rigid bodies inside the fluid
makes the fluid domain time dependent and unknown a priori. First\, we ge
neralize the existence and uniqueness of strong solutions result of the co
nsidered system in the case of a single rigid body moving in a bounded cav
ity in [3]\, and then by careful analysis of how elliptic estimates for th
e Stokes operator depend on the geometry of the fluid domain\, we extend t
hese solutions up to collision. Finally\, we prove contact between rigid b
odies cannot occur for almost arbitrary configurations by studying the dis
tance between solids by a multiplier approach [1]. This talk is based on t
he results of the preprint [2].\n\n\nReferences\n\n[1] Gérard-Varet\, D.\
, Hillairet\, M.\, Regularity issues in the problem of fluid structure int
eraction\, Arch. For ration. Mech. Anal.\, page 375-407 (2010).\n\n[2] Sab
bagh\, L.\, On the motion of several disks in an unbounded viscous incompr
essible fluid\, in progress.\n\n[3] Takahashi\, T.\, Analysis of strong so
lutions for the equation modelling the motion of a rigid-fluid system in a
bounded domain\, Adv. Differential Equations\, page 1499-1532 (2003).\n\n
https://indico.math.cnrs.fr/event/2915/contributions/3207/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3207/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics of electrochemical interfaces
DTSTART;VALUE=DATE-TIME:20180830T091000Z
DTEND;VALUE=DATE-TIME:20180830T094500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3211@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rüdiger Müller (Weierstrass-Institute)\nInterface
processes play an important role in many electrochemical applications like
batteries\, fuel-cells or water purification. In boundary regions typical
ly sharp layers form where electrostatic potential develops steep gradient
s and the ionic species accumulate to an extend that saturation effects be
come relevant. In contrast\, the classical Nernst-Planck model for electro
lyte transport is build on the assumption of dilute solutions and thus it
is unable to accurately describe electrochemical interfaces.\nVarious modi
fications of the standard Nernst-Planck systems have been proposed. Recent
ly\, we derived an extended continuum model from consistent coupling of el
ectro- and thermodynamics in bulk domains intersected by singular surfaces
. We apply the model to the interface between a liquid electrolyte and a m
etal electrode. The interface consists of the surface and the adjacent bou
ndary layers. The surface is assumed to be blocking to all species such th
at no Faradayic surface reactions occur but adsorption-desorption between
volume and surface is permitted. By means of matched asymptotic analysis\,
the dynamic behavior of such electro-chemical interfaces is investigated
in the thin double layer limit\, i.e. for small Debye length. We find thre
e different time scales characterizing the time scales of the bulk diffusi
on\, the double layer charging and the bulk polarization.\nFor small ampli
tudes of the applied potential\, a linearization of the asymptotic thin do
uble layer model leads to an equivalent circuit model. Electrochemical imp
edance spectroscopy then allows the identification of parameters in the or
iginal full PDE model.\n\nThis is a joint work with W. Dreyer and C. Guhlk
e (WIAS Berlin).\n\nhttps://indico.math.cnrs.fr/event/2915/contributions/3
211/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3211/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Numerical simulations of slurry pipeline for water-slurry-water
DTSTART;VALUE=DATE-TIME:20180830T094500Z
DTEND;VALUE=DATE-TIME:20180830T102000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3212@indico.math.cnrs.fr
DESCRIPTION:Speakers: Tarik Chakkour (LAGA - Paris 13)\nNumerous slurry tr
ansportation pipeline systems have been built in the past 10 years. At the
same time\, T. Chakkour & F. Benkhaldoun study in [2\, 3] the hydraulic t
ransport of particles in tubes. We investigated in [1] the hydraulic trans
port of slurry system in horizontal tubes (The Khouribga mines). This mine
ral pipeline has often been referred to as one of the most challenging pro
jects in terms of operating complexity and system configuration in Morocco
. This physical model features a mass and momentum balance for three-fluid
model in 1D. It allows to predict the pressure drop and flow patterns. Th
e originality of this work is to present in simplified form a homogeneous
single-phase model. The most important advantage of this model is the cons
iderably smaller number of variables to be solved compared to the multipha
se model. In this presentation\, we give the asymptotic behavior of fricti
on-disharge term fQ2 that is involved in the last term of motions equation
\, taking into account the Reynolds number. This allows to understand how
the elevation varies\, when the flow is very laminar.\n\n\nReferences\n\n[
1] T. Chakkour\, F. Benkhaldoun and M. Boubekeur\, Slurry Pipeline for flu
id transients in pressurized conduits\, submitted\n\n[2] T. Chakkour\, Sim
ulations numériques des tubes avec contraction brusque sur openfoam\, The
rmodynamique des interfaces et mécanique des fluides 17 (2017).\n\nhttps:
//indico.math.cnrs.fr/event/2915/contributions/3212/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3212/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asymptotic behaviour of some biological models stemming from struc
tured population dynamics
DTSTART;VALUE=DATE-TIME:20180830T102000Z
DTEND;VALUE=DATE-TIME:20180830T105500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3213@indico.math.cnrs.fr
DESCRIPTION:Speakers: Havva Yoldaş (BCAM - Universidad de Granada)\nWe co
nsider two different partial differential equation models structured by el
apsed time for dynamics of neuron population and give some improved result
s for long time asymptotics. The first model we study is a nonlinear versi
on of the renewal equation\, while the second model is a conservative drif
t-fragmentation equation which adds adaptation and fatigue effects to the
neural network model. These problems were introduced in [1] and [2].\nWe p
rove that both the problems are well-posed in a measure setting. Both have
steady states which may or may not be unique depending on further assumpt
ions. In order to show the exponential convergence to steady states we use
a technique from the theory of Markov processes called Doeblins method. T
his method was used in [3] for demonstrating exponential convergence of so
lutions of the renewal equation to its equilibrium. It is based on the ide
a of finding a positive quantitative bound for solutions to the linear pro
blem. This leads us to prove the spectral gap property in the linear setti
ng. Then by exploiting this property we prove that both models converge ex
ponentially to a steady state.\nWe consider an extension of the Doeblin’
s Theorem which is called Harris’ Theorem\, in order to obtain asymptoti
c convergence result for growth-fragmentation equation which is a more gen
eral model for cell growth and division and other phenomena involving frag
mentation. This part is still on progress.\n\nThis is a joint work with Jo
sé A. Cañizo.\n\n\nReferences\n\n1] K. Pakdaman\, B. Perthame and D. Sal
ort\, Dynamics of a structured neuron population\, Nonlinearity 23-1 (2010
)\, pp. 55-75.\n\n[2] K. Pakdaman\, B. Perthame and D. Salort\, Adaptation
and fatigue model for neuron networks and large time asymptotics in a non
linear fragmentation equation\, J. Math. Neurosci. 4-1 (2014)\, pp. 1-26.\
n\n[3] P. Gabriel\, Measure solutions to the conservative renewal equation
\, submitted\, arXiv:1704.00582\n\n[4] J. A. Cañizo and H. Yoldaş\, Asym
ptotic behaviour of neuron population models structured by elapsed-time\,
submitted\, arXiv:1803.07062\n\nhttps://indico.math.cnrs.fr/event/2915/con
tributions/3213/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3213/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On convergences of the square root approximation scheme to the Fok
ker- Planck operator
DTSTART;VALUE=DATE-TIME:20180830T145500Z
DTEND;VALUE=DATE-TIME:20180830T153000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3217@indico.math.cnrs.fr
DESCRIPTION:Speakers: Martin Heida (WIAS Berlin)\nWe study the qualitative
convergence behavior of a novel FV-discretization scheme of the Fokker-Pl
anck equation\, the squareroot approximation scheme (SQRA)\, that recently
was proposed by [Lie\, Fackeldey and Weber 2013] in the context of confor
mation dynamics. We show that SQRA has a natural gradient structure relate
d to the Wasserstein gradient flow structure of the Fokker-Planck equation
and that solutions to the SQRA converge to solutions of the Fokker-Planck
equation. This is done using a discrete notion of G-convergence for the u
nderlying discrete elliptic operator. The gradient structure of the FV-sch
eme guaranties positivity of solutions and preserves asymptotic behavior o
f the Fokker-Planck equation for large times. Furthermore\, the SQRA does
not need to account for the volumes of cells and interfaces and is taylore
d for high dimensional spaces. However\, based on FV-discretizations of th
e Laplacian it can also be used in lower dimensions taking into account th
e volumes of the cells. As an example\, in the special case of stationary
Voronoi tessellations we use stochastic two-scale convergence to prove tha
t this setting satisfies the G-convergence property.\n\nhttps://indico.mat
h.cnrs.fr/event/2915/contributions/3217/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3217/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sedimentation of particles in Stokes flow
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3232@indico.math.cnrs.fr
DESCRIPTION:Speakers: Amina Mecherbet (MAG\, Montpellier University)\nWe c
onsider the sedimentation of N identical spherical particles in a uniform
gravitational field. Particle rotation is included in the model while iner
tia is neglected.\nIn the dilute case\, the result in [5] shows that the p
articles do not get closer in finite time. The rigorous convergence of the
dynamics to the solution of a Vlasov-Stokes equation is proven in [4] in
a certain averaged sense. The result holds true in the case of particles t
hat are not so dilute as in [5] and for which the interactions between par
ticles are still important.\nIn this paper\, using the method of reflectio
ns\, we extend the investigation of [4] by discussing the optimal particle
distance which is conserved in finite time. The set of particle configura
tions considered herein is the one introduced in [3] for the analysis of t
he homogenization of the Stokes equation. We also prove that the particles
interact with a singular interaction force given by the Oseen tensor and
justify the mean field approximation of Vlasov-Stokes equations in the spi
rit of [1] and [2].\n\nKey-words: Suspension flows\, Interacting particle
systems\, Stokes equations\, Vlasov-like equations\n\n\nReferences\n\n[1]
M. Hauray\, Wasserstein distances for vortices approximation of Euler-type
equations\, Math. Models Methods Appl. Sci. 19 (2009) pp. 1357-1384.\n\n[
2] M. Hauray and P.-E. Jabin. Particle approximation of Vlasov equations w
ith singular forces: propagation of chaos\, Ann. Sci. Ec. Norm. Super. 48-
4 (2015)\, pp. 891-940.\n\n[3] M. Hillairet\, On the homogenization of the
Stokes problem in a perforated domain. Arch. Rational Mech. Anal. (2018)\
, https://doi.org/10.1007/s00205-018-1268-7\n\n[4] R.-M. Höfer\, Sediment
ation of Inertialess Particles in Stokes Flows\, Commun. Math. Phys. 360-1
(2018)\, pp. 55-101.\n\n[5] P.-E. Jabin and F. Otto\, Identification of t
he dilute regime in particle sedimentation\, Commun. Math. Phys. 250 (2004
)\, pp. 415-432.\n\nhttps://indico.math.cnrs.fr/event/2915/contributions/3
232/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3232/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Existence of traveling waves for the nonlocal Gross-Pitaevskii-equ
ation in dimension one
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3233@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pierre Mennuni (Laboratoire Paul Painlevé\, Univers
ité de Lille)\nhttps://indico.math.cnrs.fr/event/2915/contributions/3233/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3233/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nonlocal elliptic equations: existence and multiplicity results
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3234@indico.math.cnrs.fr
DESCRIPTION:Speakers: Debangana Mukherjee (Montanuniversität\, Leoben)\nh
ttps://indico.math.cnrs.fr/event/2915/contributions/3234/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3234/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxwell’s equations with sign changing permittivity tensor
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3235@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anouk Nicolopoulos (LJLL\, Université Pierre et Mar
ie Curie)\nTo model hybrid resonances in fusion plasma\, Maxwell’s equat
ions feature a sign changing permittivity tensor. The problem can be expre
ssed as a degenerate elliptic PDE. There is no uniqueness of the solution\
, and the solutions admit a singularity inside the domain.\nA small regula
rizing viscosity parameter can be introduced\, but the problem is still nu
merically challenging because of the competition of this small parameter w
ith the discretization step.\nThe work presented will consist of the chara
cterization of the limit solution in a mixed variational setting and will
be numerically illustrated.\n\nhttps://indico.math.cnrs.fr/event/2915/cont
ributions/3235/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3235/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Long time asymptotics for solutions of the Short Pulse Equation
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3237@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lech Zielinski (LMPA\, Université du Littoral Côte
d'Opale)\nhttps://indico.math.cnrs.fr/event/2915/contributions/3237/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3237/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Multilevel Monte Carlo Method For Kinetic Transport Equations Us
ing Asymptotic-Preserving Particle Schemes
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3231@indico.math.cnrs.fr
DESCRIPTION:Speakers: Emil Loevbak (KU Leuven)\nhttps://indico.math.cnrs.f
r/event/2915/contributions/3231/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3231/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On all-regime and well-balanced Lagrange-Projection schemes for co
mpressible fluid systems
DTSTART;VALUE=DATE-TIME:20180830T123000Z
DTEND;VALUE=DATE-TIME:20180830T131500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3214@indico.math.cnrs.fr
DESCRIPTION:Speakers: Christophe Chalons (Université Versailles Saint-Que
ntin-en-Yvelines)\nIt is the purpose of this talk to provide an overview o
n recent advances on the development of Lagrange Projection like numerical
schemes for compressible fluids systems with source terms. \nThe key idea
of the Lagrange-Projection strategy is to decouple the acoustic and trans
port phenomenon. When combined with a Suliciu like relaxation technique\,
the Lagrange-Projection strategy leads to efficient implicit-explicit disc
retisations on fixed unstructured grids\, with CFL conditions driven by th
e (slow) material waves and not by the (fast) acoustic waves. The resultin
g scheme also satisfies a fully discrete entropy inequality. As we will se
e\, the strategy is very well-suited to design efficient all-regime and we
ll balanced numerical schemes. For the purpose of illustration\, we will f
irst consider the nearly incompressible limit of low Mach number flows and
the diffusive limit of the gas dynamics equations with source terms\, for
which asymptotic-preserving schemes are proposed. We will also show that
the strategy allows to design fully well-balanced schemes for the shallow
water equations. By fully well-balanced\, we mean here that the scheme is
able to preserve stationary states with non-zero velocity.\n\nhttps://indi
co.math.cnrs.fr/event/2915/contributions/3214/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3214/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An entropy preserving DG-scheme for the Fisher-KPP equation
DTSTART;VALUE=DATE-TIME:20180831T091000Z
DTEND;VALUE=DATE-TIME:20180831T094500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3238@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marcel Braukhoff (Institute for Analysis and Scienti
fic Computing\, Vienna University of Technology)\nThe Fisher-KPP equation
is a diffusion equation with logistic reaction modeling the time evolution
of the density of one species confined in the bounded domain. \nAccording
to this interpretation\, we expect that the density remains non-negative
during the evolution. Despite in the continuous setting it is not difficul
t to prove this\, at the discrete level the same results are not trivial a
t all. \nDuring this talk\, we discuss a numerical method preserving the e
ntropy structure of the Fisher-KPP equation. With this structure\, we can
show that the density stays always non-negative and decays algebraically t
o the stable steady state of the Fisher-KKP equation.\n\nThis talk is base
d on a a joint work with Francesca Bonizzoni (University of Vienna)\, Ansg
ar Jüngel (Vienna University of technology) and Ilaria Perugia (Universit
y of Vienna).\n\nhttps://indico.math.cnrs.fr/event/2915/contributions/3238
/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3238/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dimension reduction of improved Nernst-Planck models for charged n
anopores
DTSTART;VALUE=DATE-TIME:20180829T141000Z
DTEND;VALUE=DATE-TIME:20180829T163000Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3284@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rüdiger Müller (Weierstrass-Institute)\nThe classi
cal Nernst-Planck model suffers from its inability to accurately resolve b
oundary layers where locally large ion concentrations and pronounced volta
ge differences occur. In nanofluidic applications like nanopores with char
ged pore walls\,\none spatial dimension is in the order of the Debye lengt
h which corresponds to the boundary layer width.\nImproved models\, in par
ticular models that take the finite size of the ions into account\, can gi
ve a more realistic description of the ion flow in the boundary layers.\nS
ince typically the aspect ratio of the pore geometry is large the numerica
l discretization of the nanopore problem needs very fine meshes to resolve
the layers\, leading to extremely large algebraic systems to be solved.\n
By asymptotic analysis we derive a dimension reduced system 1D PDE system
for averaged quantities plus a small algebraic system in each discretizati
on point.\nWe compare our reduced 1D model to the full 2D model over a lar
ge range of bulk ion concentrations and boundary charges.\nWe demonstrate
that improved material models lead to considerable deviations from soluti
ons of the Nernst-Planck model.\n\nJoint work with: J. Fuhrmann (WIAS)\, C
. Guhlke (WIAS)\, B. Matejczyk (U Warwick)\n\nhttps://indico.math.cnrs.fr/
event/2915/contributions/3284/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3284/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On a Cross-Diffusion model for Multiple Species with Nonlocal Inte
raction and Size Exclusion
DTSTART;VALUE=DATE-TIME:20180828T132000Z
DTEND;VALUE=DATE-TIME:20180828T135500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3197@indico.math.cnrs.fr
DESCRIPTION:Speakers: Judith Berendsen (Westfälische-Wilhelmsuniversität
Münster)\nIn this talk we study a PDE model for two diffusing species in
teracting by local size exclusion and global attraction. This leads to a n
onlinear degenerate cross-diffusion system\, for which we provide a global
existence result as well as a uniqueness proof in the case of equal diffu
sivities. The analysis is motivated by the formulation of this system as a
formal gradient flow for an appropriate energy functional consisting of e
ntropic terms as well as quadratic nonlocal terms. Key ingredients are ent
ropy dissipation methods as well as the recently developed boundedness-by-
entropy principle. Moreover\, we investigate phase separation effects inhe
rent in the cross-diffusion model by an analytical and numerical study of
minimizers of the energy functional and their asymptotics to a previously
studied case as the diffusivity tends to zero.\n\nhttps://indico.math.cnrs
.fr/event/2915/contributions/3197/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3197/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asymptotical methods for optimal control problems. Examples for th
e groundwater management
DTSTART;VALUE=DATE-TIME:20180830T141000Z
DTEND;VALUE=DATE-TIME:20180830T145500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3216@indico.math.cnrs.fr
DESCRIPTION:Speakers: Catherine Choquet (Université de La Rochelle)\nThis
talk aims at illustrating some methods for the asymptotical analysis of o
ptimal contribution-ol problems. We use examples in the context of groundw
ater pollution. The spatio-temporal objective takes into account the econo
mic trade off between the pollutant use –for instance fertilizer– and
the cleaning costs. It is constrained by a hydrogeological PDEs model for
the spread of the pollution in the aquifer. We rigorously derive\, by asym
ptotic analysis\, the effective optimal control problem for contaminant sp
ecies that are slightly concentrated in the aquifer. On the other hand\, t
he mathematical analysis of the optimal control problems is performed and
we prove in particular that the latter effective problem is well-posed. Fu
rthermore\, a stability property of the optimal control process is provide
d: any optimal solution of the properly scaled problem tends to the optima
l solution of the effective problem as the characteristic pollutant concen
tration decreases. Finally we give some results in game theory.\n\nhttps:/
/indico.math.cnrs.fr/event/2915/contributions/3216/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3216/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fluid boundary layer models: beyond the Prandtl equation ?
DTSTART;VALUE=DATE-TIME:20180830T073000Z
DTEND;VALUE=DATE-TIME:20180830T081500Z
DTSTAMP;VALUE=DATE-TIME:20210512T022744Z
UID:indico-contribution-2915-3209@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anne-Laure Dalibard (Université Pierre et Marie Cur
ie)\nThe Prandtl equation was derived in 1904 by Ludwig Prandtl in order t
o describe the behavior of fluids with small viscosity around a solid obst
acle. Over the past decades\, several results of ill-posedness in Sobolev
spaces have been proved for this equation. As a consequence\, it is natura
l to look for more sophisticated boundary layer models\, that describe the
coupling with the outer Euler flow at a higher order. Unfortunately\, the
se models do not always display better mathematical properties\, as I will
explain in this talk. \n\nThis is a joint work with Helge Dietert\, David
Gérard-Varet and Frédéric Marbach.\n\nhttps://indico.math.cnrs.fr/even
t/2915/contributions/3209/
LOCATION:LILLIAD Learning Center
URL:https://indico.math.cnrs.fr/event/2915/contributions/3209/
END:VEVENT
END:VCALENDAR