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

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.