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http://dx.doi.org/10.7858/eamj.2014.015

ENERGY DECAY RATES FOR THE KIRCHHOFF 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.30, no.3, 2014 , pp. 249-258 More about this Journal
Abstract
In this paper, we study uniform exponential stabilization of the vibrations of the Kirchhoff 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 passive viscous damping in the model as like Kang[14]. Energy decay rates are obtained by the uniform exponential stability of solutions by using multiplier technique.
Keywords
Kirchhoff type; Energy decay; Balakrishnan-Taylor damping; Acoustic boundary; Stabilization; Lyapunov functional;
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Times Cited By KSCI : 2  (Citation Analysis)
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