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THE SELF-SIMILAR SOLUTION FOR GINZBURG-LANDAU EQUATION AND ITS LIMIT BEHAVIOR IN BESOV SPACES
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作者 zhangxiaoyi 《Journal of Partial Differential Equations》 2003年第4期361-375,共15页
In this paper, we study the limit behavior of self-similar solutions for the Complex Ginzburg-Landau (CGL) equation in the nonstandard function space Es,p. We prove the uniform existence of the solutions for the CGL e... In this paper, we study the limit behavior of self-similar solutions for the Complex Ginzburg-Landau (CGL) equation in the nonstandard function space Es,p. We prove the uniform existence of the solutions for the CGL equation and its limit equation in Es,p. Moreover we show that the self-similar solutions of CGL equation converge, globally in time, to those of its limit equation as the parameters tend to zero. 展开更多
关键词 GINZBURG-LANDAU方程 自相似解 BESOV空间 SCHROEDINGER方程
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