Journal of East China Normal University(Natural Sc ›› 2004, Vol. 2004 ›› Issue (3): 29-35.

• Article • Previous Articles     Next Articles

Inertial Fractal Set for Complex Ginzburg-Landau Equation in Three-dimension

LI Dong-long1, GUO Bo-ling2   

  1. 1. Guangxi Institute of Technology, Liuzhou 545006, China; 2. Institute of Applied Physic and Computational Mathematics, Beijing 100088, China
  • Received:2002-09-10 Revised:2003-10-18 Online:2004-09-25 Published:2004-09-25
  • Contact: LI Dong-long

Abstract: This paper considers the complex Ginzburg-Landau equation in three spatial dimensions. The Lipschitz continuity and the squeezing property of the semigroup S(t) associated with the initial-value problem of complex Ginzburg-Landau equation are proved. Therefore the existence of inertial fractal sets is obtained.

Key words: Lipschitz continuity, squeezing property, fractal sets, complex Ginzburg-Landau equation, Lipschitz continuity, squeezing property, fractal sets

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