ON A SYSTEM COUPLING TWO-CRYSTALLIZATION ALLEN-CAHN EQUATIONS AND A SINGULAR NAVIER-STOKES SYSTEM

dc.creatorBianca, MRC
dc.creatorBoldrini, JL
dc.date2014
dc.date2014-07-30T17:47:02Z
dc.date2015-11-26T17:45:40Z
dc.date2014-07-30T17:47:02Z
dc.date2015-11-26T17:45:40Z
dc.date.accessioned2018-03-29T00:28:03Z
dc.date.available2018-03-29T00:28:03Z
dc.identifierCommunications In Mathematical Sciences. Int Press Boston, Inc, v. 12, n. 2, n. 257, n. 277, 2014.
dc.identifier1539-6746
dc.identifierWOS:000326979400003
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/67589
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/67589
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1288250
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe present a result on existence of solutions for a system of highly nonlinear and singular partial differential equations obtained by coupling the two-crystallization Allen-Cahn equations to a singular Navier-Stokes system and a nonlinear heat equation. Such a system constitutes a phase field model for non-isothermal solidification/melting processes of certain metallic alloys for which two different kinds of crystallization are possible. In this model, the liquid phase and each one of the possible crystallization states are described by their own phase fields. The possibility of occurrence of fluid flow in a a priori unknown non-solid region is also considered, turning the model into a free-boundary value problem.
dc.description12
dc.description2
dc.description257
dc.description277
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFAPESP [2010/10087-8]
dc.descriptionCNPq [307833/2008-9]
dc.languageen
dc.publisherInt Press Boston, Inc
dc.publisherSomerville
dc.publisherEUA
dc.relationCommunications In Mathematical Sciences
dc.relationCommun. Math. Sci.
dc.rightsfechado
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.subjectSolidification
dc.subjectTemperature
dc.subjectConvection
dc.subjectBoundary
dc.titleON A SYSTEM COUPLING TWO-CRYSTALLIZATION ALLEN-CAHN EQUATIONS AND A SINGULAR NAVIER-STOKES SYSTEM
dc.typeArtículos de revistas


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