Controllability for a wave equation with moving boundary
type: Item
instance of: scholarly article
title: Controllability for a wave equation with moving boundary
zbMATH Open document ID: 1406.93140
DOI: 10.1155/2014/827698
author: Lizhi Cui
author: Li-bo Song
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: We investigate the controllability for a one-dimensional wave equation in domains with moving boundary. This model characterizes small vibrations of a stretched elastic string when one of the two endpoints varies. When the speed of the moving endpoint is less than \(1-1/\sqrt{e}\), by Hilbert uniqueness method, sidewise energy estimates method, and multiplier method, we get partial Dirichlet boundary controllability. Moreover, we will give a sharper estimate on controllability time that only depends on the speed of the moving endpoint.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 7010768
Wikidata QID: Q59052649
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/827698
OpenAlex ID: W2050896248
DBLP publication ID: journals/jam/CuiS14
description: scientific article; zbMATH DE number 7010768