Skip to content


Open Access

Existence and Stability of Steady Waves for the Hasegawa-Mima Equation

Boundary Value Problems20092009:509801

Received: 28 September 2008

Accepted: 18 February 2009

Published: 5 March 2009


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


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationFull Article

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

Institute of Applied Physics and Computational Mathematics, Beijing, China
Department of Mathematical Sciences, Tsinghua University, Beijing, China


© B. Guo and D. Huang. 2009

This article is published under license to BioMed Central Ltd. 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.