RECENT ADVANCES IN KINETIC EQUATIONS AND APPLICATIONS
Pierre et Marie Curie, Paris, France
June 1st, 2016
Scientific and organizing committee:
Boudin, F. Golse,
is free but compulsory. The inscriptions are now closed.
(L. Boudin, F. Golse, F. Salvarani)
14h30-15h20 S. Serfaty
Jussieu campus, room 15.25.104, 1st floor, access by tower 15.
Titles and abstracts:
Claude Bardos: About Boltzmann-Maxwell relation and multiscale analysis
of Boltzmann's H Theorem
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
Sylvie Méléard: From evolutionary ecology to nonlinear fractional reaction-diffusion equations
are interested in modeling Darwinian evolution resulting
from the interplay of phenotypic variation and natural selection
through ecological interactions.
Mouhot: Landau damping in
the whole space in finite regularity
Sylvia Serfaty: Mean Field Limits for Ginzburg-Landau vortices
Abstract: Ginzburg-Landau type equations are models for superconductivity, superfluidity, Bose-Einstein condensation, etc. A crucial feature is the presence of quantized vortices, which are topological zeroes of the complex-valued solutions. We will present a new result on the derivation of a mean-field limit equation for the dynamics of many vortices starting from the parabolic Ginzburg-Landau equation or the Gross-Pitaevskii (= Schrödinger Ginzburg-Landau) equation.