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April  2005, 12(3): 425-436. doi: 10.3934/dcds.2005.12.425

On uniform decay for the coupled Euler-Bernoulli viscoelastic system with boundary damping

Jong Yeoul Park 1, and  Sun Hye Park 1,

1. 

Department of Mathematics, Busan National University, Busan 609-735, South Korea, South Korea

Received  October 2003 Revised  July 2004 Published  December 2004

We consider the coupled Euler-Bernoulli viscoelastic system with boundary damping. The existence of global solutions is proved by means of the Faedo-Galerkin method and the uniform decay rate of the energy is obtained by following the perturbed energy method.
Keywords: Uniform decay, boundary damping., coupled system, Euler-Bernoulli system.
Mathematics Subject Classification: 35L70, 35L15, 65M6.
Citation: Jong Yeoul Park, Sun Hye Park. On uniform decay for the coupled Euler-Bernoulli viscoelastic system with boundary damping. Discrete & Continuous Dynamical Systems - A, 2005, 12 (3) : 425-436. doi: 10.3934/dcds.2005.12.425
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