Asymptotic behaviour of the wave equation in domains with moving boundary
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Date
2016-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
University of M'sila
Abstract
This work is devoted to the study the asymptotic behavior in time Ofa vibrating string With afixed end-point and the other is a moving one. Using the multiplier method (energy integrals) we show that the energy ofthe string decay in time. We have considered both cases ofwaves With constant and variable speed and different motions ofthe variable end-point. Moreover some numerical results are obtained using the penalization method.
Description
Keywords
wave equation, non-cylindrical domains, multiplier method, penalization.