http://www.cnr.it/ontology/cnr/individuo/prodotto/ID308187
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity (Articolo in rivista)
- Type
- Label
- A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity (Articolo in rivista) (literal)
- Anno
- 2011-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.jde.2011.02.010 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Pierluigi Colli; Pavel Krejcí; Elisabetta Rocca; Jürgen Sprekels (literal)
- Pagina inizio
- Pagina fine
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
- http://www.sciencedirect.com/science/article/pii/S0022039611000775# (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
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- ISI Web of Science (WOS) (literal)
- Scopu (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Dipartimento di Matematica, Università di Pavia, Via Ferrata, 1, 27100 Pavia, Italy;
Institute of Mathematics, Czech Academy of Sciences, ?itná 25, CZ-11567 Praha 1, Czech Republic;
Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy; Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany (literal)
- Titolo
- A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity (literal)
- Abstract
- In this paper, we prove the existence and global boundedness from above for a solution to an integro-differential model for nonisothermal multi-phase transitions under nonhomogeneous third type boundary conditions. The system couples a quasilinear internal energy balance ruling the evolution of the absolute temperature with a vectorial integro-differential inclusion governing the (vectorial) phase-parameter dynamics. The specific heat and the heat conductivity k are allowed to depend both on the order parameter ? and on the absolute temperature ? of the system, and the convex component of the free energy may or may not be singular. Uniqueness and continuous data dependence are also proved under additional assumptions. (literal)
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