Existence and Stability of Steady Waves for the Hasegawa-Mima Equation
Existence and Stability of Steady Waves for the Hasegawa-Mima Equation
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DOI：
10.1155/2009/509801
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发表时间：
2009-03
影响因子：
1.7
通讯作者：
B. Guo;Daiwen Huang
中科院分区：
文献类型：
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作者：
B. Guo;Daiwen Huang
通过引入一个紧性引理并考虑一个约束变分问题，得到了描述漂移波在等离子体中运动的Hasegawa-Mima方程的一组定常波。此外，我们证明了，是一个稳定的设置为方程的初值问题，在这个意义上说，一个解决方案，开始附近将保持附近的所有时间。
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.