Existence and Stability of Steady Waves for the Hasegawa-Mima Equation

被引：3
|
作者：
Guo, Boling [1 ]
Huang, Daiwen [1 ,2 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2009年
关键词：
CONCENTRATION-COMPACTNESS PRINCIPLE; POSITIVE SOLUTIONS; UNIQUENESS;
D O I：
10.1155/2009/509801
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By introducing a compactness lemma and considering a constrained variational problem, we obtain a set G(R2) of steady waves for Hasegawa-Mima equation, which describes the motion of drift waves in plasma. Moreover, we prove that G(R2) is a stable set for the initial value problem of the equation, in the sense that a solution. psi (t) which starts near G(R2) will remain near it for all time. Copyright (C) 2009 B. Guo and D. Huang.
引用
下载
收藏
页数：18
相关论文
共 50 条
12345