On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law

dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
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Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
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Miranville, Alain
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Quintanilla de Latorre, Ramón
dc.date.issued
2016-10-31
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Miranville, A., Quintanilla, R. On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law. "Mathematical methods in the applied sciences", 31 Octubre 2016, vol. 39, núm. 15, p. 4385-4397.
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0170-4214
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https://hdl.handle.net/2117/90781
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10.1002/mma.3867
dc.description.abstract
This is the peer reviewed version of the following article: Miranville, A., and Quintanilla, R. (2016) On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law. Math. Meth. Appl. Sci., 39: 4385–4397, which has been published in final form at http://dx.doi.org/10.1002/mma.3867. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving
dc.description.abstract
Our aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase-¿eld systems based on the Maxwell–Cattaneo law with two temperatures for heat conduction. In particular, we obtain well-posedness results and study the dissipativity of the associated solution operators.
dc.description.abstract
Peer Reviewed
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Postprint (author's final draft)
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13 p.
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application/pdf
dc.language
eng
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info:eu-repo/grantAgreement/MINECO//MTM2013-42004-P/ES/ANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA/
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Open Access
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
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Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
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Thermoelasticity
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Caginalp systems
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Maxwell-Cattaneo law
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Two temperatures
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Well-posedness
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Dissipativity
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Equacions diferencials parcials
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Calor -- Transmissió
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Termoelasticitat
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Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
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Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type
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Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.title
On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law
dc.type
Article


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