EXPONENTIAL STABILITY OF TIMOSHENKO-GURTIN-PIPKIN SYSTEMS WITH FULL THERMAL COUPLING

FILIPPO DELLORO; MARCIO A. JORGE SILVA; SANDRO B. PINHEIRO

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EXPONENTIAL STABILITY OF TIMOSHENKO-GURTIN-PIPKIN SYSTEMS WITH FULL THERMAL COUPLING

机译：EXPONENTIAL STABILITY OF TIMOSHENKO-GURTIN-PIPKIN SYSTEMS WITH FULL THERMAL COUPLING

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摘要

We analyze the stability properties of a linear thermoelastic Timoshenko- Gurtin-Pipkin system with thermal coupling acting on both the shear force and the bending moment. Under either the mixed Dirichlet-Neumann or else the full Dirichlet boundary conditions, we show that the associated solution semigroup in the history space framework of Dafermos is exponentially stable independently of the values of the structural parameters of the model.

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《Discrete and continuous dynamical systems, Series S》 |2022年第8期|2189-2207|共19页
作者
FILIPPO DELLORO; MARCIO A. JORGE SILVA; SANDRO B. PINHEIRO;
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作者单位

Politecnico di Milano, Dipartimento di Matematica Via Bonardi 9, 20133 Milano, Italy;

Department of Mathematics, State University of Londrina Londrina 86057-970, Parana, Brazil;

Department of Mathematics, State University of Maringa Maringa 87020-900, Parana, Brazil;

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正文语种英语
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Timoshenko system; Gurtin-Pipkin law; thermal coupling; exponential stability;

EXPONENTIAL STABILITY OF TIMOSHENKO-GURTIN-PIPKIN SYSTEMS WITH FULL THERMAL COUPLING

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