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Phase-field model including a hysteresis operator

✍ Scribed by Toyohiko Aiki

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
169 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

The purpose of this paper is to propose a new mathematical model for solid-liquid phase transition. The model is derived from the well-known phase-field system and contains the hysteresis operator characterized by the ordinary differential equation including the subdifferential of the indicator function for the closed interval. We give a theorem concerned with the existence and uniqueness of a solution to our system. Moreover, we show the convergence result on solutions of our systems.

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