Boundary Value Problems
Volume 2009 (2009), Article ID 509801, 18 pages
Research Article

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

1Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
2Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Received 28 September 2008; Accepted 18 February 2009

Academic Editor: Sandro Salsa

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.


By introducing a compactness lemma and considering a constrained variational problem, we obtain a set G2 of steady waves for Hasegawa-Mima equation, which describes the motion of drift waves in plasma. Moreover, we prove that G2 is a stable set for the initial value problem of the equation, in the sense that a solution ψ(t) which starts near G2 will remain near it for all time.