带扰动项的Hasegawa-Mima方程的H^2周期解的存在性  

Existence of the periodic solution for the perturbed Hasegawa-Mima equation

作　　者：华柳斌[1] 彭雪[1] 

机构地区：[1]广州大学松田学院基础部数学教研室,广东广州511370

出　　处：《周口师范学院学报》2007年第2期22-25,共4页Journal of Zhoukou Normal University

摘　　要：Hasegawa-Mima方程是研究漂移波和湍流漂移波的模型.本文利用Schauder不动点定理证明了带扰动项的Hasegawa-Mima方程的H2周期解的存在性及其整体解的唯一性.The Hasegawa-Mima equation is a nonlinear model to investigate drift waves and drift-wave turbulence. In the article, we establish the existence of the periodic solution for the perturbed Hasegawa-Mima equation. We employ mainly the Schauder fixed point theorem to obtain the existence of the 1 solution. At last we prove the uniqueness of the solution.

关 键 词：Hasegawa—Mima方程 周期解 SCHAUDER不动点定理 

分 类 号：O175[理学—数学]