5 citations · 5 across the 5 of their papers we have counts for
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Fractional hypocoercivity in bounded domains in the anomalous diffusion limit
Maxime Herda, Marc Pegon, Isabelle Tristani
In this paper, we provide a result of exponential stability for several dissipative linear kinetic equations with heavy-tailed equilibria. The approach, inspired by the so-called $…
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…
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…