52 citations · 123 across the 20 of their papers we have counts for
23 papers
The Navier-Stokes limit of kinetic equations for low regularity data
Kleber Carrapatoso, Isabelle Gallagher, Isabelle Tristani
In this paper, we investigate the link between kinetic equations (including Boltzmann with or without cutoff assumption and Landau equations) and the incompressible Navier-Stokes e…
The Landau equation in a domain
Kleber Carrapatoso, Stéphane Mischler
This work deals with the Landau equation in a bounded domain with the Maxwell reflection condition on the boundary for any (possibly smoothly position dependent) accommodation coef…
The Kinetic Fokker-Planck equation in a domain: Ultracontractivity, hypocoercivity and long-time asymptotic behavior
Kleber Carrapatoso, Stéphane Mischler
We consider the Kinetic Fokker-Planck (FKP) equation in a domain with Maxwell reflection condition on the boundary. We establish the ultracontractivity of the associated semigroup…
On the self-similar stability of the parabolic-parabolic Keller-Segel equation
Frank Alvarez Borges, Kleber Carrapatoso, Stéphane Mischler
We consider the parabolic-parabolic Keller-Segel equation in the plane and prove the nonlinear exponential stability of the self-similar profile in a quasi parabolic-elliptic regim…
Hydrodynamic limit for the non-cutoff Boltzmann equation
Chuqi Cao, Kleber Carrapatoso
This work deals with the non-cutoff Boltzmann equation for all type of potentials, in both the torus and in the whole space , under the incompressible…
Non-cutoff Boltzmann equation with soft potentials in the whole space
Kleber Carrapatoso, Pierre Gervais
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff soft potentials in the whole space when the initial data is a small perturbation…
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…
Special macroscopic modes and hypocoercivity
Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau +3
We study linear inhomogeneous kinetic equations with an external confining potential and a collision operator admitting several local conservation laws (local density, momentum and…
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…
Large-time behavior of compressible polytropic fluids and nonlinear Schr{ö}dinger equation
Rémi Carles, Kleber Carrapatoso, Matthieu Hillairet
In this paper we analyze the large-time behavior of weak solutions to polytropic fluid models possibly including quantum and capillary effects. Formal a priori estimates show that…
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-…
Global weak solutions for quantum isothermal fluids
Rémi Carles, Kleber Carrapatoso, Matthieu Hillairet
We construct global weak solutions to isothermal quantum Navier-Stokes equations, with or without Korteweg term, in the whole space of dimension at most three. Instead of working o…
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…
Landau equation for very soft and Coulomb potentials near Maxwellians
Kleber Carrapatoso, Stéphane Mischler
This work deals with the Landau equation for very soft and Coulomb potentials near the associated Maxwellian equilibrium. We first investigate the corresponding linearized operator…
Estimates for the large time behavior of the Landau equation in the Coulomb case
Kleber Carrapatoso, Laurent Desvillettes, Lingbing He
This work deals with the large time behaviour of the spatially homogeneous Landau equation with Coulomb potential. Firstly, we obtain a bound from below of the entropy dissipation…
Cauchy problem and exponential stability for the inhomogeneous Landau equation
Kleber Carrapatoso, Isabelle Tristani, Kung-Chien Wu
This work deals with the inhomogeneous Landau equation on the torus in the cases of hard, maxwellian and moderately soft potentials. We first investigate the linearized equation an…
Uniqueness and long time asymptotics for the parabolic-parabolic Keller-Segel equation
Kleber Carrapatoso, Stéphane Mischler
The present paper deals with the parabolic-parabolic Keller-Segel equation in the plane inthe general framework of weak (or "free energy") solutions associated to an initial datum…
On the rate of convergence to equilibrium for the homogeneous Landau equation with soft potentials
Kleber Carrapatoso
We investigate in this work the rate of convergence to equilibrium of solutions to the spatially homogeneous Landau equation with soft potentials. Firstly, we prove a polynomial in…
Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
Kleber Carrapatoso
This paper deals with the long time behaviour of solutions to the spatially homogeneous Landau equation with hard potentials . We prove an exponential in time convergence towards t…
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…
Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules
Kleber Carrapatoso
We prove a quantitative propagation of chaos, uniformly in time, for the spatially homogeneous Landau equation in the case of Maxwellian molecules. We improve the results of Fontbo…
Quantitative and qualitative Kac's chaos on the Boltzmann's sphere
Kleber Carrapatoso
We investigate the construction of chaotic probability measures on the Boltzmann's sphere, which is the state space of the stochastic process of a many-particle system undergoing a…