Existence and Stability of Steady Waves for the Hasegawa-Mima Equation
1 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
2 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
Boundary Value Problems 2009, 2009:509801 doi:10.1155/2009/509801Published: 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.