FINITE-DIMENSIONAL BEHAVIOR FOR THE DERIVATIVE GINZBURG-LANDAU EQUATION IN 2 SPATIAL DIMENSIONS

Authors
GUO BL WANG BX
Citation
Bl. Guo et Bx. Wang, FINITE-DIMENSIONAL BEHAVIOR FOR THE DERIVATIVE GINZBURG-LANDAU EQUATION IN 2 SPATIAL DIMENSIONS, Physica. D, 89(1-2), 1995, pp. 83-99
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
89
Issue
1-2
Year of publication
1995
Pages
83 - 99
Database
ISI
SICI code
0167-2789(1995)89:1-2<83:FBFTDG>2.0.ZU;2-O
Abstract
In this paper, we study the long time behaviour of the solutions for t he generalized derivative Ginzburg-Landau equation in two spatial dime nsions. We show the existence of the global attractor for this equatio n and establish the estimates of the upper bounds of Hausdorff and fra ctal dimensions for the global attractor.