Local existence of solutions of a three phase‐field model for solidification | Zendy

Caretta Bianca Morelli Calsavara | Zendy; Boldrini José Luiz | Zendy

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Local existence of solutions of a three phase‐field model for solidification

Author(s) -

Caretta Bianca Morelli Calsavara,

Boldrini José Luiz

Publication year - 2009

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1094

Subject(s) - uniqueness , mathematics , field (mathematics) , partial differential equation , phase (matter) , parabolic partial differential equation , phase field models , crystallization , mathematical analysis , thermodynamics , pure mathematics , physics , quantum mechanics

In this article we discuss the local existence and uniqueness of solutions of a system of parabolic differential partial equations modeling the process of solidification/melting of a certain kind of alloy. This model governs the evolution of the temperature field, as well as the evolution of three phase‐field functions; the first two describe two different possible solid crystallization states and the last one describes the liquid state. Copyright © 2008 John Wiley & Sons, Ltd.

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