Existence and Stability of Steady Waves for the Hasegawa-Mima Equation
© B. Guo and D. Huang. 2009
Received: 28 September 2008
Accepted: 18 February 2009
Published: 5 March 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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