Remarks on exponential stability for a coupled system of elasticity and thermoelasticity with second sound
نویسندگان
چکیده
منابع مشابه
On a contact problem in thermoelasticity with second sound
We investigate the existence and stability of a thermoelastic contact problem with second sound. Previous results established the existence and stability of a solution of the corresponding classical system in the case of radial symmetry. However, recent works have shown that sometimes stability can be lost when the classical Fourier heat conduction is substituted by Cattaneo’s Law. We show that...
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We investigate the formation of singularities in thermoelasticity with second sound. Transforming into Euler coordinates and combining ideas from Sideris [14], used for compressible fluids, and Tarabek [15], used for small data large time existence in second sound models, we are able to show that there are in general no global smooth solutions for large initial data. In contrast to the situatio...
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In this article we consider one-dimensional linear thermoelastic system of Timoshenko type with linear frictional damping and a distributed delay acting on the displacement equation. The heat flux of the system is governed by Cattaneo’s law. Under suitable assumption on the weight of the delay and that of frictional damping, we establish the well-posedness result and prove that the system is ex...
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Qian Wan and Ti-Jun Xiao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China Correspondence should be addressed to Ti-Jun Xiao, [email protected] Received 30 October 2010; Accepted 21 November 2010 Academic Editor: Toka Diagana Copyright q 2011 Q. Wan and T.-J. Xiao. This is an open access article distributed u...
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ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2020
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-020-00636-4