Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 122-130.

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ATTRACTORS FOR THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN

 GUO Bo-Ling, JIANG Mu-Rong   

  1. Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing 100088, China Department of Mathematics, Yunnan University, Kunming 650091, China
    Graduate School of China Academy of Engineering Physics, P.O.Box 2101, Beijing 100088, China
  • Online:2000-01-07 Published:2000-01-07

Abstract:

By the interpolating inequality and a priori estimates in the weighted space,the existence of the global solutions for the Ginzburg-Landau equation coupled with the BBM equation in an unbounded domain is considered, and the existence of the maximal attractor is obtained.

Key words: Unbounded domain, weighted space, attractor, Ginzburg-Landau-BBM equations

CLC Number: 

  • 35Q20
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