Volume 1, Number 2, 2011, Pages 251-266 DOI:10.11948/2011017 |
On uniqueness and analyticity in thermoviscoelastic solids with voids |
Paulo Xavier Pamplona,Jaime E. Mu\(\tilde{n}\)oz Rivera,Ramόn Quintanilla |
Keywords:Thermoviscoelasticity, uniqueness, analyticity, exponential decay. |
Abstract: |
In this paper we consider the most general system proposed to describe the thermoviscoelasticity with voids. We study two qualitative properties 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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