GLOBAL EXISTENCE FOR THE EULER-MAXWELL SYSTEM

被引：0

作者：

Germain, Pierre ^{[1
]}

Masmoudi, Nader ^{[1
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2014年 / 47卷 / 03期

基金：

美国国家科学基金会;

关键词：

NONLINEAR KLEIN-GORDON; WATER-WAVES EQUATION; BOLTZMANN-EQUATION; POISSON SYSTEM; DIMENSION; SINGULARITIES; DERIVATION; FLOWS; LIMIT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Euler-Maxwell system describes the evolution of a plasma when the collisions are important enough that each species is in a hydrodynamic equilibrium. In this paper we prove global existence of small solutions to this system set in the whole three-dimensional space, by combining the space-time resonance method (to obtain decay) and energy estimates (to control high frequencies). The non-integrable decay of the solutions makes it necessary to examine resonances within the energy estimate argument.

引用

页码：469 / 503

页数：35

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