Existence and Stability of Steady Waves for the Hasegawa-Mima Equation
Boundary Value Problems volume 2009, Article number: 509801 (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.
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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