On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity
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...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/21495 |
| Acesso em linha: | https://hdl.handle.net/2117/21495 https://dx.doi.org/10.1016/j.jmaa.2013.10.026 |
| Access Level: | acceso abierto |
| Palavra-chave: | Solids--Mechanical properties Differential equations, Partial Micropolar thermoviscoelasticity Uniqueness Analyticity Exponential decay Equacions diferencials parcials Termodinàmica -- Matemàtica Sòlids -- Propietats mecàniques Classificació AMS::74 Mechanics of deformable solids Classificació AMS::35 Partial differential equations Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Resumo: | 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. |
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