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

被引：49

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.

引用

页码：2355 / 2431

页数：77

共 50 条

[21] ON DISPERSION DECAY FOR 3D KLEIN-GORDON EQUATION
Kopylova, Elena
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (11) : 5765 - 5780
[22] The existence and nonexistence of global solutions of the Cauchy problem for Klein-Gordon systems
A. B. Aliev
A. A. Kazimov
Doklady Mathematics, 2014, 90 : 680 - 682
[23] SYMPLECTIC SCHEMES FOR QUASILINEAR WAVE EQUATIONS OF KLEIN-GORDON AND SINE-GORDON TYPE
Xiao-wu Lu (Department of Mathematics and Computer Science
Journal of Computational Mathematics, 2001, (05) : 475 - 488
[24] Symplectic schemes for quasilinear wave equations of Klein-Gordon and Sine-Gordon type
Lu, XW
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 19 (05) : 475 - 488
[25] Global well-posedness of solutions for 2-D Klein-Gordon equations with exponential nonlinearity
Lin, Qiang
Pang, Yue
Wang, Xingchang
Xu, Zhengsheng
JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (02)
[26] GLOBAL SOLUTION OF THE SYSTEM OF WAVE AND KLEIN-GORDON EQUATIONS
GEORGIEV, V
MATHEMATISCHE ZEITSCHRIFT, 1990, 203 (04) : 683 - 698
[27] Small amplitude periodic solutions of Klein-Gordon equations
Lu, Nan
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2017, 34 (05): : 1255 - 1272
[28] Exact solutions of coupled nonlinear Klein-Gordon equations
Yusufoglu, E.
Bekir, A.
MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (11-12) : 1694 - 1700
[29] Internal mode-induced growth in 3d nonlinear Klein-Gordon equations
Leger, Tristan
Pusateri, Fabio
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2022, 33 (03) : 695 - 727
[30] New exact solutions for nonlinear Klein-Gordon equations
Han, ZX
ACTA PHYSICA SINICA, 2005, 54 (04) : 1481 - 1484

← 1 2 3 4 5 →