ON UNIQUENESS AND ANALYTICITY IN THERMOVISCOELASTIC SOLIDS WITH VOIDS

Paulo Xavier Pamplona; Jaime E. Muñoz Rivera; Ramón Quintanilla

doi:10.11948/2011017

2011 Volume 1 Issue 2

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Paulo Xavier Pamplona, Jaime E. Muñoz Rivera, Ramón Quintanilla. ON UNIQUENESS AND ANALYTICITY IN THERMOVISCOELASTIC SOLIDS WITH VOIDS[J]. Journal of Applied Analysis & Computation, 2011, 1(2): 251-266. doi: 10.11948/2011017

Citation:

Paulo Xavier Pamplona, Jaime E. Muñoz Rivera, Ramón Quintanilla. ON UNIQUENESS AND ANALYTICITY IN THERMOVISCOELASTIC SOLIDS WITH VOIDS[J]. Journal of Applied Analysis & Computation, 2011, 1(2): 251-266. doi: 10.11948/2011017

ON UNIQUENESS AND ANALYTICITY IN THERMOVISCOELASTIC SOLIDS WITH VOIDS

1 Universidade Federal de Campina Grande, CCTA, Cidade Universitária, 58840-000, Pombal, PB-Brasil,;
2 National Laboratory of Scientific Computations, LNCC/MCT, Rua Getúlio Vargas 333, Quitandinha, Petropolis, CEP 25651-070, RJ-Brasil,;
3 Matemática Aplicada 2, UPC, C. Colón 11, 08222 Terrassa, Barcelona, Spain

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Abstract

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.
- Thermoviscoelasticity /
- uniqueness /
- analyticity /
- exponential decay
MSC: 74D05;74H40;74H55

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References

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