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On the global existence and small dispersion limit for a class of complex Ginzburg–Landau equations

✍ Scribed by Hongjun Gao; Xueqin Wang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
150 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 the corresponding small dispersion limit equation for a period of time that goes to infinity as dispersive coefficient goes to zero. Copyright © 2008 John Wiley & Sons, Ltd.

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