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

Boundary Value Problems volume 2009, Article number: 509801 (2009) Cite this article

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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Authors and Affiliations

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

    Boling Guo & Daiwen Huang

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

    Daiwen Huang

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  1. Boling Guo
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  2. Daiwen Huang
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Correspondence to Daiwen Huang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Guo, B., Huang, D. Existence and Stability of Steady Waves for the Hasegawa-Mima Equation. Bound Value Probl 2009, 509801 (2009). https://doi.org/10.1155/2009/509801

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

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