Copyright © 2009 Boling Guo and Daiwen Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By introducing a compactness lemma and considering a constrained variational problem, we obtain a set Gℝ2 of steady waves for Hasegawa-Mima equation, which describes the motion of drift waves in plasma. Moreover, we prove that Gℝ2 is a stable set for the initial value problem of the equation, in the sense that a solution ψ(t) which starts near Gℝ2 will remain near it for all time.