On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity
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This paper deals with the linear theory of isotropic micropolar thermoviscoelastic materials. When the dissipation is positive definite, we present two uniqueness theorems. The first one requires the extra assumption that some coupling terms vanish; in this case, the instability of solutions is also proved. When the internal energy and the dissipation are both positive definite, we prove the well-posedness of the problem and the analyticity of the solutions. Exponential decay and impossibility of localization are corollaries of the analyticity.
CitationMagaña, A.; Quintanilla, R. On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity. "Journal of mathematical analysis and applications", 01 Abril 2014, vol. 412, núm. 1, p. 109-120.