Global existence for the generalised 2D Ginzburg-Landau equation-Reference-Cited by-同舟云学术

Global existence for the generalised 2D Ginzburg-Landau equation

Published:2003-01 Issue:3 Volume:44 Page:381-392
ISSN:1446-1811
Container-title:The ANZIAM Journal
language:en
Short-container-title:ANZIAM J.

Author:

Gao Hongjun,Kwek Keng-Huat

Abstract

AbstractGinzburg-Landau type complex partial differential equations are simplified mathematical models for various pattern formation systems in mechanics, physics and chemistry. Most work so far has concentrated on Ginzburg-Landau type equations with one spatial variable (1D). In this paper, the authors study a complex generalised Ginzburg-Landau equation with two spatial variables (2D) and fifth-order and cubic terms containing derivatives. Based on detail analysis, sufficient conditions for the existence and uniqueness of global solutions are obtained.

Publisher

Cambridge University Press (CUP)

Subject

Mathematics (miscellaneous)

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