Initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval
type: Item
instance of: scholarly article
title: Initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval
zbMATH Open document ID: 1264.35177
DOI: 10.1155/2013/691731
author: Lixin Tian
author: Qingwen Yuan
author: Lizhen Wang
published in: Journal of Function Spaces and Applications
publication date: 2013-05-29T00:00:00Z
review text: Summary: We study the initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval subject to inhomogeneous boundary conditions. First we prove a local in time existence theorem and present a weak-strong uniqueness result. Then, we establish a asymptotic stabilization of this system by a boundary feedback. Finally, we obtain a result of blow-up solution with certain initial data and boundary profiles.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6167913
Wikidata QID: Q59014707
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/691731
OpenAlex ID: W2015646188
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description: scientific article; zbMATH DE number 6167913