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  • Research Article
  • Open Access

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

Boundary Value Problems20092009:509801

https://doi.org/10.1155/2009/509801

  • Received: 28 September 2008
  • Accepted: 18 February 2009
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Full Article

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Authors’ 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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