RECENT ADVANCES IN KINETIC EQUATIONS AND APPLICATIONS
Université
Pierre et Marie Curie, Paris, France June 1st, 2016
Scientific and organizing committee: L.
Boudin, F. Golse,
F. Salvarani
Registration:
Registration
is free but compulsory. The inscriptions are now closed.
Program: 9h5010h
Opening
(L. Boudin, F. Golse, F. Salvarani)
14h3015h20 S. Serfaty
18h00
Cocktail
Venue:
UPMC,
Jussieu campus, room 15.25.104, 1st floor, access by tower 15.
Titles and abstracts:
Claude Bardos: About BoltzmannMaxwell relation and multiscale analysis
Laurent
Desvillettes: Robustness
of Boltzmann's H Theorem Abstract:
The case of equality in Boltmann's H Theorem (of rarefied
monoatomic gases) consists in solving a functional equation for
the density in phase space of a gas at thermodynamical
equilibrium. A variant of the original proof of Boltzmann
enables to state robustness results leading to extensions of the
H Theorem which are useful for various models appearing in
physics.
Sylvie Méléard: From evolutionary ecology to nonlinear fractional reactiondiffusion equations Abstract:
We
are interested in modeling Darwinian evolution resulting
from the interplay of phenotypic variation and natural selection
through ecological interactions.
Clément
Mouhot: Landau damping in
the whole space in finite regularity
Sylvia Serfaty: Mean Field Limits for GinzburgLandau vortices Abstract: GinzburgLandau type equations are models for superconductivity, superfluidity, BoseEinstein condensation, etc. A crucial feature is the presence of quantized vortices, which are topological zeroes of the complexvalued solutions. We will present a new result on the derivation of a meanfield limit equation for the dynamics of many vortices starting from the parabolic GinzburgLandau equation or the GrossPitaevskii (= Schrödinger GinzburgLandau) equation.
Cédric
Villani: TBA
