Going beyond the linearized study has been a longstanding problem in the theory of Landau
damping. In this paper we establish exponential Landau damping in analytic regularity. The …

We give a new, simpler, but also and most importantly more general and robust, proof of
nonlinear Landau damping on T^ d T d in Gevrey-1 s-1 s regularity (s> 1/3 s> 1/3) which …

This paper is concerned with the first mixed problem for the Vlasov–Poisson equations in an
infinite cylinder, a problem describing the evolution of the density distribution of ions and …

We prove Landau damping for the collisionless Vlasov equation with a class of L1
interaction potentials (including the physical case of screened Coulomb interactions) on for …

Рассматривается первая смешанная задача для уравнений Власова–Пуассона в
бесконечном цилиндре, описывающая эволюцию плотностей распределения ионов и …

The purpose of this article is to describe the limit, as the vacuum electric permittivity goes to
zero, of a plasma physics system, deduced from the Vlasov—Poisson system for special …

Defect measures of the vlasov-poisson system in the quasineutral regime Page 1 COMMUN. IN
PARTIAL DIFFERENTLAL EQUATIONS, 20(7&8), 1 189- 12 15 (1995) DEFECT MEASURES …

We prove the existence for short times of analytic solutions to a Vlasov type equation. The
corresponding model is one-dimensional but uses a quite singular force term which involves …

This course was taught in the summer of 2010 in the Centre International des Rencontres
Mathématiques as part of a program on mathematical plasma physics related to the ITER …

The relative entropy method describes the irreversibility of the Vlasov-Poisson and Vlasov-
Boltzmann-Poisson systems in bounded domains with incoming boundary conditions …