带扰动项的Hasegawa-Mima方程的H^m(m≥3)解的存在性及解的正则性  

Existence of the Solution——H^m(m≥3) and Its Regularity for the Perturbed Hasegawa Mima Equation

作　　者：彭雪[1] 

机构地区：[1]广州大学松田学院基础课部,广东广州511370

出　　处：《广州城市职业学院学报》2008年第2期69-72,共4页Journal Of Guangzhou City Polytechnic

摘　　要：Hasegawa—Mima方程是研究漂移波和湍流漂移波的模型。给出带扰动项的Hase-gawa—Mima方程的解的存在性及解的正则性,主要利用了带扰动项的Hasegawa—Mima方程的H2解的存在性和高阶导数的先验估计来得到高阶解的存在性,并给出了解的正则性。The Hasegawa Mima equation is a nonlinear model to investigate drift waves and drift-wave turbulence. In this paper, the existence of the solution and its regularity for the perturbed Hasegawa Mima equation are presented. We make use of the existence of the H^2 solution of Hasegawa-Mima equation and a prioris estimates of the higher order derivative to derive the higher order solution, and show the regularity of the solution.

关 键 词：HASEGAWA-MIMA方程 正则性 高阶导数. 

分 类 号：O172[理学—数学]