Decay rates for Kirchhoff-Timoshenko transmission problems

Tamara Fastovska

doi:10.3934/cpaa.2013.12.2645

Article Contents

2013, Volume 12, Issue 6: 2645-2667. Doi: 10.3934/cpaa.2013.12.2645

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Decay rates for Kirchhoff-Timoshenko transmission problems

Tamara Fastovska^1,

1.
Department of Mathematics and Mechanics, Kharkov Karazin National University, 4, Svobody sq., Kharkov 61077

Received: July 31, 2012

Revised: December 31, 2012

Published: October 2013

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Abstract

A linear transmission problem for a thermoelastic Timoshenko beam model with Fourier low of heat conduction which has a Kirchhoff part with hereditary heat conduction of Gurtin-Pipkin type is considered. We prove that the system is exponentially stable under certain conditions on its parameters. The same result for the problem with purely elastic Kirchhoff part is obtained.

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Mathematics Subject Classification: Primary: 35B40, 45K05; Secondary: 74D05, 74F05.

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References

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