Landau damping on the torus for the Vlasov-Poisson system with massless electrons

被引：3

作者：

Gagnebin, Antoine ^{[1
]}

Iacobelli, Mikaela ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, Zurich, Switzerland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 376卷

关键词：

GLOBAL CLASSICAL-SOLUTIONS; QUASI-NEUTRAL LIMIT; WEAK SOLUTIONS; PROPAGATION; REGULARITY; EXISTENCE; EQUATION; MOMENTS;

D O I：

10.1016/j.jde.2023.08.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the nonlinear Landau damping on the torus Td for the Vlasov-Poisson system with massless electrons (VPME). We consider solutions with analytic or Gevrey (gamma > 1/3) initial data, close to a homogeneous equilibrium satisfying a Penrose stability condition. We show that for such solutions, the corresponding density and force field decay exponentially fast as time goes to infinity. This work extends the results for Vlasov-Poisson on the torus to the case of ions and, more generally, to arbitrary analytic nonlinear couplings.(c) 2023 The Authors. Published by Elsevier Inc.

引用

页码：154 / 203

页数：50

共 50 条

[41] On Landau damping [J].