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Spatial behavior in phase-lag heat conduction
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.author | Racke, Reinhard |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2015-02-09T13:45:15Z |
dc.date.created | 2015-03-01 |
dc.date.issued | 2015-03-01 |
dc.identifier.citation | Quintanilla, R.; Racke, R. Spatial behavior in phase-lag heat conduction. "Differential and Integral Equations", 01 Març 2015, vol. 28, núm. 3-4, p. 291-308. |
dc.identifier.issn | 0893-4983 |
dc.identifier.uri | http://hdl.handle.net/2117/26266 |
dc.description.abstract | In this paper, we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's principle. Depending on the relative order of derivation, with respect to the time, we propose different arguments. One is inspired by the arguments for parabolic problems and the other is inspired by the arguments for hyperbolic problems. In the first case, we obtain a Phragmén-Lindelöf alternative for the solutions. In the second case, we obtain an estimate for the decay as well as a domain of influence result. The main tool to manage these problems is the use of an exponentially weighted Poincaré inequality. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
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::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.lcsh | Heat--Transmission--Mathematics |
dc.subject.lcsh | Saint-Venant's principle |
dc.subject.lcsh | Thermodynamics--Mathematics. |
dc.subject.other | Models in heat conduction |
dc.subject.other | Spatial stability |
dc.subject.other | Domain of influence |
dc.subject.other | Saint-Venant's principle |
dc.title | Spatial behavior in phase-lag heat conduction |
dc.type | Article |
dc.subject.lemac | Calor -- Transmissió -- Matemàtica |
dc.subject.lemac | Termodinàmica -- Matemàtica |
dc.subject.lemac | Equacions diferencials hiperbòliques |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type |
dc.subject.ams | Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
dc.relation.publisherversion | http://projecteuclid.org/euclid.die/1423055229 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 15415154 |
dc.description.version | Postprint (author’s final draft) |
dc.date.lift | 10000-01-01 |
local.citation.author | Quintanilla, R.; Racke, R. |
local.citation.publicationName | Differential and Integral Equations |
local.citation.volume | 28 |
local.citation.number | 3-4 |
local.citation.startingPage | 291 |
local.citation.endingPage | 308 |
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