Asymptotics for the generalized two-dimensional Ginzburg-Landau equation

Authors
Gao, HJ Lin, GG Duan, JQ
Citation
Hj. Gao et al., Asymptotics for the generalized two-dimensional Ginzburg-Landau equation, J MATH ANAL, 247(1), 2000, pp. 198-216
Citations number
25
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
247
Issue
1
Year of publication
2000
Pages
198 - 216
Database
ISI
SICI code
0022-247X(20000701)247:1<198:AFTGTG>2.0.ZU;2-S
Abstract
In this paper, the authors have studied a generalized Ginzburg-Landau equat ion in two spatial dimensions (2D). They have shown that this equation, und er periodic boundary conditions, has the maximal attractor with finite Haus dorff dimension. This rigorously establishes the foundation for further inv estigation of this type of model. (C) 2000 Academic Press.