6 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…
Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators
Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau +2
We prove functional inequalities on vector fields on the Euclidean space when it is equipped with a bounded measure that satisfies a Poincaré inequality, and study associated self-…
On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres
Kleber Carrapatoso, Matthieu Hillairet
We consider the Stokes system in deprived of spheres of radius completed by constant boundary conditions on the spheres. This problem models the instantan…
Rigidity results in generalized isothermal fluids
Rémi Carles, Kleber Carrapatoso, Matthieu Hillairet
We investigate the long-time behavior of solutions to the isothermal Euler, Korteweg or quantum Navier Stokes equations, as well as generalizations of these equations where the con…
Chaos and Entropic Chaos in Kac's Model Without High Moments
Kleber Carrapatoso, Amit Einav
In this paper we present a new local Lévy Central Limit Theorem, showing convergence to stable states that are not necessarily the Gaussian, and use it to find new and intuitive en…