52 citations · 131 across the 18 of their papers we have counts for
18 papers
Fractional hypocoercivity in bounded domains in the anomalous diffusion limit
Maxime Herda, Marc Pegon, Isabelle Tristani
In this paper, we provide quantitative stability results for several dissipative linear kinetic equations with heavy-tailed equilibria in different geometries. Moreover, the approa…
The hydrodynamic limit of viscoelastic granular gases
R. Alonso, B. Lods, I. Tristani
We obtain the first rigorous derivation of an incompressible Navier-Stokes-Fourier system with self-consistent and time-dependent forcing terms from the inelastic hard-spheres Bolt…
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…
From Boltzmann equation for granular gases to a modified Navier-Stokes-Fourier system
Ricardo J. Alonso, Bertrand Lods, Isabelle Tristani
In this paper, we give an overview of the results established in [3] which provides the first rigorous derivation of hydrodynamic equations from the Boltzmann equation for inelasti…
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…
On a structure-preserving numerical method for fractional Fokker-Planck equations
Nathalie Ayi, Maxime Herda, Hélène Hivert +1
In this paper, we introduce and analyse numerical schemes for the homogeneous and the kinetic Lévy-Fokker-Planck equation. The discretizations are designed to preserve the main fea…
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…
Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
Frédéric Hérau, Daniela Tonon, Isabelle Tristani
In this paper, we investigate the problems of Cauchy theory and exponential stability for the inhomogeneous Boltzmann equation without angular cut-off. We only deal with the physic…
Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel
Frédéric Hérau, Daniela Tonon, Isabelle Tristani
We prove regularization properties in short time for inhomogeneous kinetic equations whose collision kernel behaves like a fractional power of the Laplacian in velocity. We treat a…
Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime
Isabelle Tristani
In this paper, we consider the linearized Vlasov-Poisson equation around an homogeneous Maxwellian equilibrium in a weakly collisional regime: there is a parameter $\eps$ in front…
Uniform semigroup spectral analysis of the discrete, fractional \& classical Fokker-Planck equations
Stéphane Mischler, Isabelle Tristani
In this paper, we investigate the spectral analysis (from the point of view of semi-groups) of discrete, fractional and classical Fokker-Planck equations. Discrete and fractional F…
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…
Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off
Isabelle Tristani
This paper deals with the long time behavior of solutions to the spatially homogeneous Boltzmann equation. The interactions considered are the so-called (non cut-off and non mollif…
Fractional Fokker-Planck equation
Isabelle Tristani
This paper deals with the long time behavior of solutions to a "fractional Fokker-Planck" equation of the form where the operator stands…
Boltzmann equation for granular media with thermal force in a weakly inhomogeneous setting
Isabelle Tristani
In this paper, we consider the spatially inhomogeneous diffusively driven inelastic Boltzmann equation in different cases: the restitution coefficient can be constant or can depend…