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ENERGY DECAY RATES FOR THE KELVIN-VOIGT TYPE WAVE EQUATION WITH ACOUSTIC BOUNDARY

  • Seo, Young-Il (National Fisheries Research and Development Institute) ;
  • Kang, Yong-Han (Institute of Liberal Education, Catholic University of Daegu)
  • Received : 2012.02.11
  • Accepted : 2012.06.15
  • Published : 2012.06.25

Abstract

In this paper, we study uniform exponential stabilization of the vibrations of the Kelvin-Voigt type wave equation with 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 Gannesh C. Gorain [1]. Energy decay rates are obtained by the exponential stability of solutions by using multiplier technique.

Keywords

Kelvin-Voigt type;Energy decay;Acoustic boundary;Stabilization;Lyapunov functional

Acknowledgement

Supported by : National Fisheries Research and Development Institute

References

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