About analyticity for the coupled system of linear thermoviscoelastic equations

Margareth S. Alves, Jaime E. Muñoz Rivera, Mauricio Sepúlveda and Octavio Vera

Applied Mathematics and Computation, 2015, vol. 270, issue C, 943-952

Abstract: In this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic equation of energy is analytic.

Keywords: Thermoviscoelasticity; Exponential stability; Analyticity; Semigroup theory (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:943-952

DOI: 10.1016/j.amc.2015.08.092

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