5 citations · 5 across the 3 of their papers we have counts for
5 papers
Regularization estimates and hydrodynamical limit for the Landau equation
Kleber Carrapatoso, Mohamad Rachid, Isabelle Tristani
In this paper, we study the Landau equation under the Navier-Stokes scaling in the torus for hard and moderately soft potentials. More precisely, we investigate the Cauchy theory i…
Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition
Armand Bernou, Kleber Carrapatoso, Stéphane Mischler +1
We establish the convergence to the equilibrium for various linear collisional kinetic equations (including linearized Boltzmann and Landau equations) with physical local conservat…
Fluid dynamic limit of Boltzmann equation for granular hard--spheres in a nearly elastic regime
Ricardo J. Alonso, Bertrand Lods, Isabelle Tristani
In this paper, we provide the first rigorous derivation of hydrodynamic equations from the Boltzmann equation for inelastic hard spheres with small inelasticity. The hydrodynamic s…
A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
Nathalie Ayi, Maxime Herda, Hélène Hivert +1
In this paper we are interested in the large time behavior of linear kinetic equations with heavy-tailed local equilibria. Our main contribution concerns the kinetic Lévy-Fokker-Pl…
On the convergence of smooth solutions from Boltzmann to Navier-Stokes
Isabelle Gallagher, Isabelle Tristani
In this work, we are interested in the link between strong solutions of the Boltzmann and the Navier-Stokes equations. To justify this connection, our main idea is to use informati…