Exponential energy decay estimates for the solutions of n-dimensional Kirchhoff type wave equation

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摘要

Here we study uniform exponential stabilization of the vibrations of Kirchhoff type wave equation in a bounded domain in Rn with a smooth boundary, under mixed boundary conditions. To stabilize the system, we incorporate separately, the passive viscous damping and the internal material damping of Kelvin–Voigt type in the model. Explicit forms of exponential energy decay rates are obtained by a direct method, for the solution of such boundary value problems.

论文关键词:Exponential decay of energy,Kelvin–Voigt type damping,Kirchhoff type wave equation,Uniform stabilization

论文评审过程:Available online 10 January 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2005.11.003