On the Cauchy problem for the 1+2 complex Ginzburg-Landau equation-Reference-Cited by-同舟云学术

On the Cauchy problem for the 1+2 complex Ginzburg-Landau equation

Published:1995-01 Issue:3 Volume:36 Page:313-324
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Bu Charles

Abstract

AbstractWe present analytical methods to investigate the Cauchy problem for the complex Ginzburg-Landau equation u1 = (v + iα)Δu − (κ + iβ) |u|2qu + γu in 2 spatial dimensions (here all parameters are real). We first obtain the local existence for v > 0, κ ≥ 0. Global existence is established in the critical case q = 1. In addition, we prove the global existence when .

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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