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http://dx.doi.org/10.7858/eamj.2016.026

ENERGY DECAY RATE FOR THE KELVIN-VOIGT TYPE WAVE EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND ACOUSTIC BOUNDARY  

Kang, Yong Han (Institute of Liberal Education, Catholic University of Daegu)
Publication Information
East Asian mathematical journal / v.32, no.3, 2016 , pp. 355-364 More about this Journal
Abstract
In this paper, we study exponential stabilization of the vibrations of the Kelvin-Voigt type wave equation with Balakrishnan-Taylor damping and acoustic boundary in a bounded domain in $R^n$. To stabilize the systems, we incorporate separately, the internal material damping in the model as like Kang [3]. Energy decay rate are obtained by the exponential stability of solutions by using multiplier technique.
Keywords
Kelvin-Voigt type; Energy decay; Balakrishnan-Taylor damping; Acoustic boundary; Stabilization; Lyapunov functional;
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Times Cited By KSCI : 1  (Citation Analysis)
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