On the stability of Timoshenko systems with Gurtin-Pipkin thermal law

2013/04/03 by Filippo Dell'Oro, Dell'Oro, Filippo, Vittorino Pata +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1304.0985

arxiv created 2013/04/03 · arxiv updated 2013/04/04

Abstract

We analyze a differential system describing a Timoshenko beam coupled with a temperature evolution of Gurtin-Pipkin type. A necessary and sufficient condition for exponential stability is established in terms of the structural parameters of the equations. In particular, we generalize previously known results on the Fourier-Timoshenko and the Cattaneo-Timoshenko beam models.

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