On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/21495

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.contributor	Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
dc.contributor	Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.contributor.author	Magaña Nieto, Antonio
dc.contributor.author	Quintanilla de Latorre, Ramón
dc.date	2014-04-01
dc.identifier.citation	Magaña, 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.
dc.identifier.citation	0022-247X
dc.identifier.citation	10.1016/j.jmaa.2013.10.026
dc.identifier.uri	http://hdl.handle.net/2117/21495
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/article/pii/S0022247X1300930X
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject	Solids--Mechanical properties
dc.subject	Differential equations, Partial
dc.subject	Micropolar thermoviscoelasticity
dc.subject	Uniqueness
dc.subject	Analyticity
dc.subject	Exponential decay
dc.subject	Equacions diferencials parcials
dc.subject	Termodinàmica -- Matemàtica
dc.subject	Sòlids -- Propietats mecàniques
dc.subject	Classificació AMS::74 Mechanics of deformable solids
dc.subject	Classificació AMS::35 Partial differential equations
dc.title	On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	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.
dc.description.abstract	Peer Reviewed

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