Global solutions of quasilinear systems of Klein-Gordon equations in 3D

被引：51
|
作者：
Ionescu, Alexandru D. [1 ]
Pausader, Benoit [1 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2014年 / 16卷 / 11期
基金：
美国国家科学基金会;
关键词：
Quasilinear Klein-Gordon systems; global stability and scattering; Euler-Maxwell one-fluid system; SMALL AMPLITUDE SOLUTIONS; SPACE DIMENSIONS; WAVE-EQUATIONS; EXISTENCE; SCATTERING; SPEEDS;
D O I：
10.4171/JEMS/489
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove small data global existence and scattering for quasilinear systems of Klein- Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.
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页码：2355 / 2431
页数：77
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