This paper establishes existence and uniqueness of the weak solution to the Ginzburg-Landau equation posed in a finite domain Q = [0, L] for t 2 0, with certain initial-boundary data.
A Dirichlet boundary value problem for a generalized Ginzburg-Landau equation
✍ Scribed by Hongjun Gao; C Bu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 279 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
We study the following generalized 1D Ginzburg-Landau equation on ~ = (0, c~) x (0, oo)
Under suitable conditions, we prove that there is a unique H 1 weak solution that exists for all time. ~
📜 SIMILAR VOLUMES
The Ginzburg᎐Landau-type complex partial differential equations are simplified mathematical models for various pattern formation systems in mechanics, physics, and chemistry. Most work so far concentrates on Ginzburg᎐Landau-type equations Ž . with one spatial dimension 1D . In this paper, the author
In this article, we consider a system of a Ginzburg᎐Landau equation in u coupled with a Poisson equation in , nonglobal. Our method uses energy arguments. We establish differential inequalities having only nonglobal solutions.