5 papers
Propagation of chaos for the Boltzmann equation with very soft potentials
Côme Tabary
We build solutions to Kac's particle system and show that their empirical measures converge to the solution of the space-homogeneous Boltzmann equation in the regime of very soft p…
On the monotonicity of the entropy production in the Landau-Maxwell equation
Côme Tabary
We study the homogeneous Landau equation with Maxwell molecules and prove that the entropy production is non-increasing when the directional temperatures are well-distributed. It i…
Propagation of chaos for the Landau equation with very soft and Coulomb potentials
Côme Tabary
We consider a drift-diffusion process of stochastic particles and show that its empirical measure converges, as , to the solution of the Landau equation. W…
Weak-strong uniqueness for the Landau equation by a relative entropy method
Côme Tabary
We derive a weak-strong uniqueness and stability principle for the Landau equation in the soft potentials case (including Coulomb interactions). The distance between two solutions…
Strichartz estimates for geophysical fluid equations using Fourier restriction theory
Corentin Gentil, Côme Tabary
We prove Strichartz estimates for the semigroups associated to stratified and/or rotating inviscid geophysical fluids using Fourier restriction theory. We prove new results for rot…