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Open Access Research Article

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

Boling Guo1 and Daiwen Huang12*

Author Affiliations

1 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

2 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

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Boundary Value Problems 2009, 2009:509801  doi:10.1155/2009/509801


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/509801


Received:28 September 2008
Accepted:18 February 2009
Published:5 March 2009

© 2009 The Author(s).

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 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.

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