GINZBURG-LANDAU EQUATION AND STABLE STEADY-STATE SOLUTIONS IN A NONTRIVIAL DOMAIN

Authors
JIMBO S MORITA Y ZHAI J
Citation
S. Jimbo et al., GINZBURG-LANDAU EQUATION AND STABLE STEADY-STATE SOLUTIONS IN A NONTRIVIAL DOMAIN, Communications in partial differential equations, 20(11-12), 1995, pp. 2093-2112
Citations number
25
Categorie Soggetti
Mathematics,"Mathematics, Pure",Mathematics,Mathematics
Journal title
Communications in partial differential equations → ACNP
ISSN journal
03605302
Volume
20
Issue
11-12
Year of publication
1995
Pages
2093 - 2112
Database
ISI
SICI code
0360-5302(1995)20:11-12<2093:GEASSS>2.0.ZU;2-1
Abstract
The Ginzburg-Landau equation with a large parameter is studied in a bo unded domain with the Neumann B.C. It is shown that many kinds of stab le non-constant solutions exist in domains with some topological condi tion. If the space dimension is 2 or 3 and if the domain is not simply connected, this condition holds.