Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (6): 1775-1790.doi: 10.1016/S0252-9602(17)30106-6

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LARGE TIME BEHAVIOR OF SOLUTIONS TO THE PERTURBED HASEGAWA-MIMA EQUATION

Lijuan WANG   

  1. School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 200260, China
  • Received:2016-07-12 Revised:2017-06-13 Online:2017-12-25 Published:2017-12-25
  • Supported by:

    The research is supported by the National Natural Science Foundation of China (11231006).

Abstract:

The large time behavior of solutions to the two-dimensional perturbed HasegawaMima equation with large initial data is studied in this paper. Based on the time-frequency decomposition and the method of Green function, we not only obtain the optimal decay rate but also establish the pointwise estimate of global classical solutions.

Key words: perturbed Hasegawa-Mima equation, Green function, time-frequency decomposition, pointwise estimates

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