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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2014Embargo end date: 01 Jan 2013 English Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 257, pages 523-548 (issn: 0022-0396, Copyright policy )
Authors: DELL'ORO, FILIPPO; PATA, VITTORINO;

doi: 10.1016/j.jde.2014.04.009 , 10.48550/arxiv.1304.0985

arXiv: http://arxiv.org/abs/1304.0985

handle: 11311/798918

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

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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Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
77
Top 1%
Top 10%
Top 10%
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