@Article{JPDE-16-361,
author = {Xiaoyi Zhang },
title = {The Self-similar Solution for Ginzburg-Landau Equation and Its Limit Behavior in Besov Spaces},
journal = {Journal of Partial Differential Equations},
year = {2003},
volume = {16},
number = {4},
pages = {361--375},
abstract = { In this paper, we study the limit behavior of self-similar solutions for the Complex Ginzburg-Landau (CGL) equation in the nonstandard function space E_{s,p}. We prove the uniform existence of the solutions for the CGL equation and its limit equation in E_{s,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. Key Words Ginzburg-Landau equation; Schrödinger equation; self-similar solution; limit behavior.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5432.html}
}