Controllability for a Wave Equation with Moving Boundary | Zendy

Lizhi Cui | Zendy; Libo Song | Zendy

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Controllability for a Wave Equation with Moving Boundary

Author(s) -

Lizhi Cui,

Libo Song

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/827698

Subject(s) - controllability , uniqueness , boundary (topology) , dirichlet boundary condition , computer science , mathematical analysis , mathematics , algorithm

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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