Polynomial Stability for Timoshenko-Type System with Past History

Abstract:

In this paper, we consider hyperbolic Timoshenko-type vibrating systems that are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. We use semigroup method to prove the polynomial stability result with assumptions on past history relaxation function exponentially decaying for the nonequal wave-speed case.

• Periodical: Applied Mechanics and Materials (Volume 623)
• Pages: 78-84
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.623.78
• Online since: August 2014
• Authors: Zhi Yong Ma*
• Keywords: Past History, Polynomial Decay, Semigroup, Timoshenko

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