dc.creatorBoldrini, JL
dc.creatorPlanas, G
dc.date2005
dc.dateJUL
dc.date2014-07-30T13:43:09Z
dc.date2015-11-26T17:39:08Z
dc.date2014-07-30T13:43:09Z
dc.date2015-11-26T17:39:08Z
dc.date.accessioned2018-03-29T00:20:44Z
dc.date.available2018-03-29T00:20:44Z
dc.identifierDiscrete And Continuous Dynamical Systems. Amer Inst Mathematical Sciences, v. 13, n. 2, n. 429, n. 450, 2005.
dc.identifier1078-0947
dc.identifierWOS:000228933400010
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/53939
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/53939
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1286376
dc.descriptionWe consider a tridimensional phase-field model for a solidification/melting non-stationary process, which incorporates the physics of binary alloys, thermal properties and fluid motion of non-solidified material. The model is a free-boundary value problem consisting of a highly non-linear parabolic system including a phase-field equation, a heat equation, a concentration equation and a variant of the Navier-Stokes equations modified by a penalization term of Carman-Kozeny type to model the flow in mushy regions and a Boussinesq type term to take into account the effects of the differences in temperature and concentration in the flow. A proof of existence of generalized solutions for the system is given. For this, the problem is firstly approximated and a sequence of approximate solutions is obtained by Leray-Schauder's fixed point theorem. A solution of the original problem is then found by using compactness arguments.
dc.description13
dc.description2
dc.description429
dc.description450
dc.languageen
dc.publisherAmer Inst Mathematical Sciences
dc.publisherSpringfield
dc.publisherEUA
dc.relationDiscrete And Continuous Dynamical Systems
dc.relationDiscret. Contin. Dyn. Syst.
dc.rightsaberto
dc.sourceWeb of Science
dc.subjectphase-field models
dc.subjectphase change
dc.subjectconvection
dc.subjectsolidification.
dc.subjectSolidification
dc.titleA tridimensional phase-field model with convection for phase change of an alloy
dc.typeArtículos de revistas


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