Local existence of solutions of a three phase‐field model for solidification |
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Authors: | Bianca Morelli Calsavara Caretta José Luiz Boldrini |
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Institution: | Universidade Estadual de Campinas, Brazil |
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Abstract: | 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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Keywords: | parabolic equation existence of solution solidification alloy phase field |
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