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dc.contributor.authorMiranville, Alain
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2016-05-31T07:44:34Z
dc.date.available2016-05-31T07:44:34Z
dc.date.issued2016-06-01
dc.identifier.citationMiranville, A., Quintanilla, R. A Caginalp phase-field system based on type III heat conduction with two temperatures. "Quarterly of applied mathematics", 01 Juny 2016, vol. 74, núm. 2, p. 375-398.
dc.identifier.issn0033-569X
dc.identifier.urihttp://hdl.handle.net/2117/87512
dc.description.abstractOur aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness results and study the dissipativity of the associated solution operators. We consider here both regular and singular nonlinear terms. Furthermore, we endow the equations with two types of boundary conditions, namely, Dirichlet and Neumann. Finally, we study the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist.
dc.format.extent24 p.
dc.language.isoeng
dc.relationFirst published in Quarterly of applied mathematics in v.74, n.2, published by the American Mathematical Society
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshApplied mathematics
dc.subject.lcshThermoelasticity
dc.subject.otherCaginalp system
dc.subject.otherType III thermomechanics
dc.subject.otherTwo temperatures
dc.subject.otherWell-posedness
dc.subject.otherDissipativity
dc.subject.otherSpatial behavior
dc.subject.otherPhragmén-Lindelöf alternative
dc.titleA Caginalp phase-field system based on type III heat conduction with two temperatures
dc.typeArticle
dc.subject.lemacMatemàtica aplicada
dc.subject.lemacTermoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1090/qam/1430
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::35 Partial differential equations::35K Parabolic equations and systems
dc.subject.amsClassificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type
dc.subject.amsClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.rights.accessOpen Access
local.identifier.drac17702138
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2013-42004-P
local.citation.authorMiranville, A.; Quintanilla, R.
local.citation.publicationNameQuarterly of applied mathematics
local.citation.volume74
local.citation.number2
local.citation.startingPage375
local.citation.endingPage398


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