Analysis of a two-phase field model for the solidification of an alloy

Boldrini, José Luis; Calsavara Caretta, Bianca Morelli; Fernández Cara, Enrique

doi:10.1016/j.jmaa.2009.03.063

Artículo

dc.creator	Boldrini, José Luis	es
dc.creator	Calsavara Caretta, Bianca Morelli	es
dc.creator	Fernández Cara, Enrique	es
dc.date.accessioned	2022-12-09T13:01:52Z
dc.date.available	2022-12-09T13:01:52Z
dc.date.issued	2009-03-09
dc.identifier.citation	Boldrini, J.L., Calsavara Caretta, B.M. y Fernández Cara, E. (2009). Analysis of a two-phase field model for the solidification of an alloy. Journal of Mathematical Analysis and Applications, 357 (1), 25-44. https://doi.org/10.1016/j.jmaa.2009.03.063.
dc.identifier.uri	https://hdl.handle.net/11441/140268
dc.description.abstract	In this paper we present some theoretical results for a system of nonlinear partial differential equations that provide a phase field model for the solidification/melting of a metallic alloy. It is assumed that two different kinds of crystallization are possible. Consequently, the unknowns are the temperature τ and the phase field functions u and v. The time derivatives and appear in the equation for τ (the heat equation). On the other hand, the equations for u and v contain nonlinear terms where we find τ.	es
dc.format	application/pdf	es
dc.format.extent	19 p.	es
dc.language.iso	eng	es
dc.publisher	ScienceDirect	es
dc.relation.ispartof	Journal of Mathematical Analysis and Applications, 357 (1), 25-44.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Solidification models	es
dc.subject	Phase field models	es
dc.subject	Parabolic partial differential equations	es
dc.subject	Existence	es
dc.subject	Uniqueness	es
dc.subject	Regularity	es
dc.title	Analysis of a two-phase field model for the solidification of an alloy	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones diferenciales y análisis numérico	es
dc.relation.publisherversion	https://doi.org/10.1016/j.jmaa.2009.03.063	es
dc.identifier.doi	10.1016/j.jmaa.2009.03.063	es
dc.contributor.group	Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software	es
dc.journaltitle	Journal of Mathematical Analysis and Applications	es
dc.publication.volumen	357	es
dc.publication.issue	1	es
dc.publication.initialPage	25	es
dc.publication.endPage	44	es

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