Three-dimensional solidification with two possible crystallization states: Existence of solutions with flow in the melt

dc.creatorCaretta, BMC
dc.creatorBoldrini, JL
dc.date2010
dc.date11018
dc.date2014-11-16T07:32:06Z
dc.date2015-11-26T17:23:55Z
dc.date2014-11-16T07:32:06Z
dc.date2015-11-26T17:23:55Z
dc.date.accessioned2018-03-29T00:11:12Z
dc.date.available2018-03-29T00:11:12Z
dc.identifierMathematical Methods In The Applied Sciences. John Wiley & Sons Ltd, v. 33, n. 5, n. 655, n. 675, 2010.
dc.identifier0170-4214
dc.identifierWOS:000276134700010
dc.identifier10.1002/mma.1188
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/58233
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/58233
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/58233
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1283946
dc.descriptionIn this paper we discuss the existence of solutions of a system of nonlinear and singular partial differential equations constituting a phase field model with convection for non-isothermal solidification/melting of certain metallic alloys in the case where two different kinds of crystallization are possible. Each one of these crystallization states is described by its own phase field, while the liquid phase is described by another one. The model also allows the occurrence of fluid flow in non-solid regions, which are a priori unknown, and then we have a free-boundary value problem. Thus, the model relates the evolutions of these three phase fields, the temperature of the solidification/melting process and the fluid flow in non-solid regions. Copyright (C) 2009 John Wiley & Sons, Ltd.
dc.description33
dc.description5
dc.description655
dc.description675
dc.languageen
dc.publisherJohn Wiley & Sons Ltd
dc.publisherChichester
dc.publisherInglaterra
dc.relationMathematical Methods In The Applied Sciences
dc.relationMath. Meth. Appl. Sci.
dc.rightsfechado
dc.rightshttp://olabout.wiley.com/WileyCDA/Section/id-406071.html
dc.sourceWeb of Science
dc.subjectsolidification
dc.subjectphase field
dc.subjectconvection
dc.subjectfree-boundary value problem
dc.subjectparabolic partial differential equations
dc.subjectfixed point
dc.subjectPhase-field Model
dc.subjectAlloy
dc.subjectTemperature
dc.subjectConvection
dc.subjectBoundary
dc.subjectSystems
dc.titleThree-dimensional solidification with two possible crystallization states: Existence of solutions with flow in the melt
dc.typeArtículos de revistas


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