From the Klein-Gordon-Zakharov system to a singular nonlinear Schrodinger system

被引：20

作者：

Masmoudi, Nader ^{[1
]}

Nakanishi, Kenji ^{[2
]}

机构：

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

[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2010年 / 27卷 / 04期

关键词：

NONRELATIVISTIC LIMIT; LANGMUIR TURBULENCE; ENERGY SPACE; EQUATIONS; APPROXIMATION;

D O I：

10.1016/j.anihpc.2010.02.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we continue our investigation of the high-frequency and subsonic limits of the Klein-Gordon-Zakharov system. Formally, the limit system is the nonlinear Schrodinger equation. However, for some special case of the parameters going to the limits, some new models arise. The main object of this paper is the derivation of those new models, together with convergence of the solutions along the limits. (C) 2010 Elsevier Masson SAS. All rights reserved.

引用

页码：1073 / 1096

页数：24

共 22 条

[1] EQUATIONS OF LANGMUIR TURBULENCE AND NONLINEAR SCHRODINGER-EQUATION - SMOOTHNESS AND APPROXIMATION [J].