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
  • Pierluigi Colli; Pavel Krejcí; Elisabetta Rocca; Jürgen Sprekels (2011)
    A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
    in Journal of differential equations (Print); Elsevier Inc., San Diego (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pierluigi Colli; Pavel Krejcí; Elisabetta Rocca; Jürgen Sprekels (literal)
Pagina inizio
  • 1354 (literal)
Pagina fine
  • 1387 (literal)
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
  • 251 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4-5 (literal)
Note
  • 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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