Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/67589
Type: Artigo
Title: On a system coupling two-crystallization Allen-Cahn equations and a singular Navier-Stokes system
Author: Calsavara, Bianca Morelli Rodolfo
Boldrini, José Luiz
Abstract: We 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.
We 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.
Subject: Modelos de campo de fase
Solidificação - Modelos matemáticos
Teoria do ponto fixo
Problemas de valores de contorno
Equações diferenciais parabólicas
Country: Estados Unidos
Editor: International
Citation: Communications In Mathematical Sciences. Int Press Boston, Inc, v. 12, n. 2, n. 257, n. 277, 2014.
Rights: fechado
Identifier DOI: 10.4310/CMS.2014.v12.n2.a3
Address: https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0012/0002/a003/
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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