A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg-Landau equation
type: Item
instance of: scholarly article
title: A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg-Landau equation
zbMATH Open document ID: 1114.35144
author: Xiaohua Gu
author: Charles Bu
author: Hongjun Gao
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-04-10T00:00:00Z
review text: The authors deal with the following 2D generalized Ginzburg-Landau equation \[ u_t= \alpha_0 u+\alpha_1\Delta u+\alpha_2|u|^2 u_x+ \alpha_3|u|^2 u_y+ \alpha_u u^2\overline u_x+ \alpha_5 u^2\overline u_y- \alpha_6|u|^{2\sigma}u.\tag{1} \] The authors study (1) under appropriate initial condition and inhomogeneous Dirichlet boundary condition and prove sufficient conditions for global existence.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 5141612
zbMATH Keywords: Ginzburg-Landau equation
zbMATH Keywords: global existence
zbMATH Keywords: inhomogeneous Dirichlet boundary condition
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.07.023
OpenAlex ID: W2085905960
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DOI: 10.1016/J.JMAA.2006.07.023
description: scientific article; zbMATH DE number 5141612