Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 652-662.

• Articles • Previous Articles     Next Articles

The Self similar Solution and its Limit Behavior for the Complex Ginzburg Landau Equation

 ZHANG Xiao-Yi   

  • Online:2005-10-25 Published:2005-10-25
  • Supported by:

    国家自然科学基金(10426029)资助

Abstract:

The author proves there exists unique global solution in the non standarct funct ion space X_{s,p} for complex Ginzburg Landau equation. The author also  shows that the self similar solution of Ginzburg Landau equation converges to  the self similar solution of the limit equation as the parameter
ε→0++  or ε→0++, a→0

Key words: Complex Ginzburg Landau equation, Semilinear Schrodiger equation, Self similar solution, Limit behavior

CLC Number: 

  • 35Q55
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