Only in the last 15 years or so has the notion of semi-uniform stability, which lies between
exponential stability and strong stability, become part of the asymptotic theory of C 0 …

This paper proves the existence of small‐amplitude global‐in‐time unique mild solutions to
both the Landau equation including the Coulomb potential and the Boltzmann equation …

When dilute charged particles are confined in a bounded domain, boundary effects are
crucial in the global dynamics. We construct a unique global-in-time solution to the Vlasov …

This paper gives an affirmative answer to the question of the global existence of Boltzmann
equations without angular cutoff in the L∞-setting. In particular, we show that when the initial …

Hypocoercivity methods are applied to linear kinetic equations with mass conservation and
without confinement in order to prove that the solutions have an algebraic decay rate in the …

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 physical …

We obtain the global-in-time and uniform in Knudsen number $\epsilon $ energy estimate
for the cutoff and non-cutoff scaled Vlasov-Maxwell-Boltzmann system for the soft potential …

This article is concerned with the Schauder estimate for linear kinetic Fokker–Planck
equations with Höder continuous coefficients. This equation has an hypoelliptic structure. As …

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 information on …

The Boltzmann equation without the angular cutoff is considered when the initial data is a
small perturbation of a global Maxwellian and decays algebraically in the velocity variable …