## Abstract In this paper we consider a class of complex Ginzburg–Landau equations. We obtain sufficient conditions for the existence and uniqueness of global solutions for the initial‐value problem in __d__‐dimensional torus 𝕋^__d__^, and that solutions are initially approximated by solutions of t
Nonglobal Existence of Solutions for a Generalized Ginzburg–Landau Equation Coupled with a Poisson Equation
✍ Scribed by Seifeddine Snoussi; Slim Tayachi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 100 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
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.
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