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

Jong Yeoul Park; Sun Hye Park

doi:10.3934/dcds.2005.12.425

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2005, Volume 12, Issue 3: 425-436. Doi: 10.3934/dcds.2005.12.425

This issue Previous Article Invariant criteria for existence of bounded positive solutions Next Article Robust control problems in fluid flows

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

Received: October 2003

Revised: July 2004

Published: April 2005

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Abstract

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.

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Mathematics Subject Classification: 35L70, 35L15, 65M60.

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