Hasegawa-Mima方程时间周期解的存在性

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.