ON UNIQUENESS AND ANALYTICITY IN THERMOVISCOELASTIC SOLIDS WITH VOIDS | Zendy

Paulo Xavier Pamplona | Zendy

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ON UNIQUENESS AND ANALYTICITY IN THERMOVISCOELASTIC SOLIDS WITH VOIDS

Author(s) -

Paulo Xavier Pamplona

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011017

Subject(s) - uniqueness , impossibility , dissipation , mathematics , sign (mathematics) , mathematical analysis , coupling (piping) , pure mathematics , physics , thermodynamics , materials science , political science , law , metallurgy

In this paper we consider the most general system proposed to describe the thermoviscoelasticity with voids. We study two qualitative prop- erties of the solutions of this theory. First, we obtain a uniqueness result when we do not assume any sign to the internal energy. Second we extend some previous results and prove the analyticity of the solutions. The impossibility of localization in time of the solutions is a consequence. Last result we present corresponds to the analyticity of solutions in case that the dissipation is not very strong, but with suitable coupling terms.

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