Hasegawa-Mima方程时间周期解的存在性(英文)  

Existence of Time Periodic Solution of the Hasegawa-Mima Equation

作　　者：金珍[1] 

机构地区：[1]南昌工程学院理学系,南昌330099

出　　处：《东莞理工学院学报》2012年第1期1-5,共5页Journal of Dongguan University of Technology

基　　金：Supported by Youth Fund of Nanchang Institute of Technology(2010KJ025)~~

摘　　要：讨论一类带周期边界条件的二维Hasegawa-Mima方程,利用Galerkin方法和Leray-Schaude不动点定理,得到了当外力项f(x,yt,)关于时间t是周期函数时,所得到的解也是时间周期函数。In this paper, we discuss a 2-dimension Hasegawa-Mima equation with periodic boundary condition. By applying the Galerkin method and Leray-Schauder fixed point theorem, the existence of a time-periodic solution of the Hasegawa-Mima equation is proved when the forcing term.f（ x ,y,t）is periodic function of timer.

关 键 词：HASEGAWA-MIMA方程 时间周期解 GALERKIN方法 Leray-Schaude不动点定理 

分 类 号：O175.2[理学—数学]