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2014 Controllability for a Wave Equation with Moving Boundary
Lizhi Cui, Libo Song
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/827698

Abstract

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/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.

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Lizhi Cui. Libo Song. "Controllability for a Wave Equation with Moving Boundary." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/827698

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 1304.35395
MathSciNet: MR3176831
Digital Object Identifier: 10.1155/2014/827698

Rights: Copyright © 2014 Hindawi

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