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

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.