二维HM方程解的衰减

摘要

Hasegawa-Mima（简记为HM）方程是研究漂移波和湍流漂移波的模型。本文运用＂Fourier-Splitting＂技术得到了二维HM方程初始问题解的L2衰减估计和L∞衰减估计。%The Hasegawa-Minma equation（HM as short） is a nonlinear model to investigate drift waves and drift-wave turbulence.In this paper,by applying ＂Fourier-Splitting＂ technique,we discussed the L2 decay and L∞ decay of the global solutions to the initial-value problems for Hasegawa-Mima equation in two space dimensions.