Unbounded one-dimensional global attractor for the damped sine-Gordon equation
type: Item
instance of: scholarly article
title: Unbounded one-dimensional global attractor for the damped sine-Gordon equation
zbMATH Open document ID: 1066.37044
author: Min Qian
author: Wen-Xin Qin
author: Guanxiang Wang
author: Shu Zhu
published in: Journal of Nonlinear Science
publication date: 2004-09-22T00:00:00Z
review text: The authors deal with the long-time behaviour of the damped sine-Gordon equation with homogeneous Neumann boundary condition. Using ``dissipativity'' phenomena, the authors show that the equation has an unbounded one-dimensional global attractor in a suitably choosen functional space, when the ``damping'' and the ``diffusion'' are not very small.
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 2102323
zbMATH Keywords: global attractor
zbMATH Keywords: sine-Gordon equation
zbMATH Keywords: dissipativity
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s003329910018
OpenAlex ID: W2077646598
DOI: 10.1007/S003329910018
description: scientific article; zbMATH DE number 2102323