Phase-lag heat conduction: decay rates for limit problems and well-posedness

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/26420

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.contributor	Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.contributor.author	Borgmeyer, Karin
dc.contributor.author	Quintanilla de Latorre, Ramón
dc.contributor.author	Racke, Reinhard
dc.date	2014-12-01
dc.identifier.citation	Borgmeyer, K.; Quintanilla, R.; Racke, R. Phase-lag heat conduction: decay rates for limit problems and well-posedness. "Journal of evolution equations", 01 Desembre 2014, vol. 14, núm. 4-5, p. 863-884.
dc.identifier.citation	1424-3199
dc.identifier.citation	10.1007/s00028-014-0242-6
dc.identifier.uri	http://hdl.handle.net/2117/26420
dc.language.iso	eng
dc.relation	http://link.springer.com/article/10.1007%2Fs00028-014-0242-6
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
dc.subject	Àrees temàtiques de la UPC::Física::Termodinàmica
dc.subject	Differential equations, Hyperbolic
dc.subject	Thermodynamics--Mathematics
dc.subject	Heat--Transmission--Mathematics
dc.subject	Hyperbolic models in heat conduction
dc.subject	Stability
dc.subject	Generalized thermoelasticity
dc.subject	Qualitative aspects
dc.subject	Stability
dc.subject	Waves
dc.subject	Model
dc.subject	Termodinàmica -- Matemàtica
dc.subject	Equacions diferencials hiperbòliques
dc.subject	Calor -- Transmissió -- Matemàtica
dc.subject	Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
dc.subject	Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.title	Phase-lag heat conduction: decay rates for limit problems and well-posedness
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The final publication is available at Springer via http://dx.doi.org/10.1007/s00028-014-0242-6.
dc.description.abstract	In two recent papers, the authors have studied conditions on the relaxation parameters in order to guarantee the stability or instability of solutions for the Taylor approximations to dual-phase-lag and three-phase-lag heat conduction equations. However, for several limit cases relating to the parameters, the kind of stability was unclear. Here, we analyze these limit cases and clarify whether we can expect exponential or slow decay for the solutions. Moreover, rather general well-posedness results for three-phase-lag models are presented. Finally, the exponential stability expected by spectral analysis is rigorously proved exemplarily.
dc.description.abstract	Peer Reviewed

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