Asymptotic Behavior of systems of PDE arising in physics and biology: theoretical and numerical points of view (ABPDE III)

Session

Poster session

29 août 2018, 16:10

LILLIAD Learning Center

29. A degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow

Dr Clément Cancès (Inria Lille)

29/08/2018 16:10

32. A Multilevel Monte Carlo Method For Kinetic Transport Equations Using Asymptotic-Preserving Particle Schemes

Emil Loevbak (KU Leuven)

29/08/2018 16:10

30. Convergence analysis of a numerical scheme for a general class of Mean field Equation

M. Neelabja Chatterjee (University of Oslo)

29/08/2018 16:10

A widely used prototype phase model to describe the synchronous behavior of weakly coupled limit-cycle oscillators is the Kuramoto model whose dynamics for sufficiently large ensemble of oscillators can be effectively approximated by the corresponding mean-field equation ’the Kuramoto Sakaguchi Equation’. In the recent past, it has been extensively studied to analyze the phase transition of...

40. Dimension reduction of improved Nernst-Planck models for charged nanopores

Dr Rüdiger Müller (Weierstrass-Institute)

29/08/2018 16:10

The classical Nernst-Planck model suffers from its inability to accurately resolve boundary layers where locally large ion concentrations and pronounced voltage differences occur. In nanofluidic applications like nanopores with charged pore walls,
one spatial dimension is in the order of the Debye length which corresponds to the boundary layer width.
Improved models, in particular models that...

34. Existence of traveling waves for the nonlocal Gross-Pitaevskii-equation in dimension one

M. Pierre Mennuni (Laboratoire Paul Painlevé, Université de Lille)

29/08/2018 16:10

38. Long time asymptotics for solutions of the Short Pulse Equation

Prof. Lech Zielinski (LMPA, Université du Littoral Côte d'Opale)

29/08/2018 16:10

36. Maxwell’s equations with sign changing permittivity tensor

Mme Anouk Nicolopoulos (LJLL, Université Pierre et Marie Curie)

29/08/2018 16:10

To model hybrid resonances in fusion plasma, Maxwell’s equations feature a sign changing permittivity tensor. The problem can be expressed as a degenerate elliptic PDE. There is no uniqueness of the solution, and the solutions admit a singularity inside the domain.
A small regularizing viscosity parameter can be introduced, but the problem is still numerically challenging because of the...

35. Nonlocal elliptic equations: existence and multiplicity results

Mme Debangana Mukherjee (Montanuniversität, Leoben)

29/08/2018 16:10

33. Sedimentation of particles in Stokes flow

Mme Amina Mecherbet (MAG, Montpellier University)

29/08/2018 16:10

We consider the sedimentation of N identical spherical particles in a uniform gravitational field. Particle rotation is included in the model while inertia is neglected.
In the dilute case, the result in [5] shows that the particles 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...

31. Time asymptotic behavior for singular neutron transport equation with bounce-back boundary conditions in L1 spaces

Dr Youssouf Kosad (Université de Djibouti)

29/08/2018 16:10