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Endre Süli (University of Oxford)29/06/2026, 14:30
Since the pioneering contributions of Werner Kuhn, Hans Kramers, Pierre-Gilles de Gennes and other scientists working at the interface of polymer chemistry and statistical physics, kinetic models have been widely and successfully used to describe the motion of polymeric fluids. During the past two decades significant progress has been made with the mathematical analysis of kinetic models of...
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Mohamed Lazhar Tayeb (Université de Tunis El Manar)29/06/2026, 15:30
We investigate asymptotic regimes for kinetic equations coupled with nonlinear field effects. By combining a relative entropy framework with a modified Hilbert expansion and a careful analysis of possible boundary layers, we obtain quantitative control of remainder terms and identify the effective macroscopic dynamics in suitable scaling limits. The approach emphasizes the role of entropy...
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Simon Loin29/06/2026, 16:30
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Nourelhouda Khedhiri29/06/2026, 16:30
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Giscard Leonel Zouakeu Wouadji29/06/2026, 16:30
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Flora Philipp29/06/2026, 16:30
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Alejandro Barea Moreno29/06/2026, 16:30
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Giacomo Vizzari29/06/2026, 16:30
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Sebastian Tapia Mandiola29/06/2026, 16:30
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Hizia Bounadja29/06/2026, 16:30
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Abdoul Aziz Diallo29/06/2026, 16:30
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Niccolò Tassi29/06/2026, 16:30
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José A. Cañizo (University of Granada)30/06/2026, 09:30
We consider linear kinetic equations of the form $\partial_t f + \frac{1}{\epsilon} v \nabla_x f = \frac{1}{\epsilon^2} L(f)$, for an unknown $f$ which depends on time $t$, position $x$ and velocity $v$, and where $L$ is a linear operator which acts only in the velocity variable, and which typically has a probability equilibrium in $v$. Important examples include the Fokker-Planck operator,...
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Bérénice Grec (Université Paris Cité)30/06/2026, 10:30
In this talk, we consider two models involving extremely strong potentials, the overdamped Langevin and kinetic Fokker-Planck equations. I will present some results on the long time behavior and both on the hydrodynamic limit and on the limit when the potential becomes stiff (confining the fluid to a domain and letting boundary conditions appear). This work is motivated by the kinetic...
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Tooryanand Seetohul (Université de Rennes)30/06/2026, 11:30
Plasma dynamics are often modeled by Vlasov equations, where interactions are encoded by a potential kernel. A striking phenomenon in such systems is Landau damping whereby particles relax back to a natural equilibrium state when slightly perturbed. In this talk, we investigate this phenomenon around inhomogeneous (spatially-dependent) steady states. We focus on the Vlasov-HMF (Hamiltonian...
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Stefanie Schindler (WIAS Berlin)30/06/2026, 12:00
In this talk, we study the long-time behavior of solutions to the compressible Euler equations with frictional damping on the whole space, assuming nonzero direction-dependent values for the density at spatial infinity. By introducing parabolic scaling variables, we reformulate the system and derive a relative entropy inequality. This framework allows us to show that the density converges to a...
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Katharina Hopf (WIAS Berlin)30/06/2026, 14:00
We present a Young measure approach to the convergence analysis of a fully discrete finite-volume scheme in multiple space dimensions for a class of cross-diffusion systems with a rank-deficient diffusion matrix. Such systems arise in the modelling of biological multi-component materials with incomplete diffusive mixing and may exhibit fully or partially segregated steady states.
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The main... -
Raksha Devi (University of Pisa)30/06/2026, 15:00
We present a solver for the one-dimensional blood flow equations based on a discontinuous Galerkin (DG) method in space with implicit time stepping. One-dimensional blood flow simulations are computationally efficient and useful for studying pulse wave dynamics in complex vascular networks. The implicit DG formulation ensures stability on stiff network configurations without the restrictive...
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Laura Kanzler (Sorbonne Université)30/06/2026, 16:00
When studying kinetic equations (which describe the motion and interaction of a system of particles), it is traditional to consider the macroscopic equations which describe the evolution of the conserved quantities of the system of particles under consideration (as for example the mass), since they are usually easier to handle. They can be obtained from the kinetic equation once an appropriate...
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Sebastian Throm (Umea University)30/06/2026, 17:00
Collective behaviour plays a central role in many biological, physical and social systems including neuronal activity, swarming animals, opinion formation or power grids. A common modelling approach consists in describing these situations by large interacting particle systems. Moreover, many systems exhibit an underlying network structure which describes the coupling between the particles and...
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Joackim Bernier (Université de Nantes)01/07/2026, 09:30
Focusing on the case of nonlinear Schrödinger equations on the circle, I will explain why it is interesting and natural to look for almost periodic solutions for nonlinear dispersive equations on bounded domains, and why one can expect such solutions to be typical among small and smooth solutions. The point is to understand whether most small solutions of the nonlinear equation behave globally...
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Robin Roussel (Université de Lille)01/07/2026, 10:30
In this talk, we consider the minimization problem for the Gross–Pitaevskii energy
$E(u) = ∫_D (|∇u|² + V(x)|u|² − Ω·ū·L_z u + γ|u|⁴) dx,~~~~~~~~~~~ (E)$
under the mass constraint $‖u‖_{L²(D)} = 1$. Here, D is a domain of ℝ², V is a confining potential, $L_z = −i(x ∂_y − y ∂_x)$ is the angular momentum operator, $Ω$ is a rotational velocity parameter and $γ ≥ 0$ describes the...
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Nikita Simonov (Sorbonne Université)01/07/2026, 11:30
In certain functional inequalities, the best constants and minimizers are known. The next natural question concerns stability: if a function “almost attains equality,” in what sense is it close to a minimizer? We will discuss some recent results (both positive and negative) on quantitative stability for the Logarithmic Sobolev inequality. Our approach is based on a variant of the carré du...
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Théo Fradin (Université de Bordeaux)01/07/2026, 12:00
In the study of oceanic flows at the geophysical scale, the phenomenon of density stratification plays a central role in the dynamics of the system. Two categories of mathematical models are commonly used to describe the role played by the density stratification: on the one hand, continuously stratified models - such as the stratified Euler equations in a strip, considered in the present...
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André Schlichting (Universtity of Ulm)02/07/2026, 09:30
We introduce a diffusive transport metric between probability measures that generalizes the Hellinger, Kantorovich and martingale transport.
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We represent several classes of parabolic PDEs as metric gradient flows with respect to diffusive transport, such as linear second-order diffusion equations in non-divergence (Itô) form, the quadratic porous medium equation, and the fourth-order DLSS... -
Artur Stephan (Technische Universität Wien)02/07/2026, 10:30
We provide a derivation of the fourth-order DLSS equation based on an interpretation as a chemical reaction network. We consider on the discretized circle the rate equation for the process where pairs of particles sitting on the same site jump simultaneously to the two neighboring sites, and the reverse jump where a pair of particles sitting on a common site jump simultaneously to the site in...
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Tommaso Tenna (Sapienza Università di Roma & Université Côte d’Azur)02/07/2026, 11:30
Starting from the microscopic description of gas mixtures, a rigorous kinetic foundation is essential for capturing the complex interfacial dynamics often missed by phenomenological models. In this talk, we investigate the formal hydrodynamic limit of the multispecies Boltzmann equation, specifically in a regime where intra-species collisions are the dominant physical process [1]. By analyzing...
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Cyrian Marczewski (Université Polytechnique Hauts-de-France)02/07/2026, 12:00
In this work, we revisit the results of Babuška and Suri [1] in the setting of mesh elements that are star-shaped with respect to a ball, with the goal of deriving hp-approximation estimates featuring fully computable multiplicative constants. To this end, we establish in particular an H1 extension theorem with completely explicit stability bound. This further allows us to derive...
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Nicolas Seguin (Inria, Université de Montpellier)02/07/2026, 14:00
We present in this talk a model for the transition between three possible phases of a same compressible fluid. To do this, we extend the usual formalism based on maximizing the specific entropy of the mixture to the three-phase case and study in particular the characterization of the triple point, which corresponds to the pressure and temperature values at which the three phases can coexist....
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Emile Deléage (Université Grenoble Alpes)02/07/2026, 15:00
In this talk, I will present a system of partial differential equations that is used in climate models for the ocean-atmosphere interface. I will first explain some physical and mathematical assumptions that are used in the derivation of the model, and in particular the important role of turbulence parametrisation in the different boundary layers. I will then give some elements for the...
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Jessica Guerand (Université de Montpellier)02/07/2026, 16:00
Gehring’s lemma states that a function satisfying a reverse Hölder inequality on suitable subdomains enjoys improved integrability. Originally introduced by Gehring in connection with open problems in the theory of quasiconformal mappings, this result has since been adapted to the study of higher integrability properties of gradients of solutions to elliptic and parabolic equations.
In this...
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Tino Laidin (Université de Bretagne Occidentale)02/07/2026, 17:00
In this talk, I present a work in collaboration with V. Calvez. We introduce a two species kinetic model designed to capture congestion effects through a first-order formulation coupled with hard congestion complementarity conditions. We discuss some properties of the model and introduce a numerical method for its resolution.
As an application, we consider the collective motion of the...
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Ankur Ankur (SISSA, Trieste)03/07/2026, 09:30
The Poisson–Nernst–Planck–Navier–Stokes (PNP–NS) system describes the transport of charged species in a fluid under the influence of electric fields, coupled with fluid flow dynamics. Although the classical PNP–NS framework provides a fundamental model, it faces limitations in accurately capturing complex electrokinetic phenomena, motivating the development of enhanced formulations. In this...
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Tuan Tung Nguyen (TU Wien)03/07/2026, 10:00
The memristor is a novel semiconductor device equipped with a memory due to the change of its electrical resistance. In this way, it may mimic the behavior of a synapse in the human brain. The memristor is modeled by drift-diffusion equations which describe the transport of the electron, hole, and oxygen vacancy densities. We prove the existence of global weak solutions in the presence of...
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Sara Xhahysa (TU Wien)03/07/2026, 10:30
Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The equations include Maxwell–Stefan, tumor-growth, thin-film solar cell models as well as novel volume-filling population systems. The Boltzmann and Rao entropy...
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Marie-Hélène Vignal (Université de Lyon)03/07/2026, 11:30
In many applications, multiple physical scales, both small and large, coexist. This is the case for instance in fluid mechanics and plasma physics. Generally, the smaller scales, generically denoted by ε, have a significant impact on the cost of numerical simulations because, in the absence of specialized schemes, spatial and/or temporal discretizations must resolve the smallest of these...
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