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A Phase-Field Model with Temperature Dependent Constraint

✍ Scribed by Pierluigi Colli; Nobuyuki Kenmochi; Masahiro Kubo

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
139 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis

This paper is concerned with a phase-field model with temperature dependent constraint for the order parameter. In the kinetic equation of the order parameter, we take account of diffusion as well as the undercooled/superheated state which is modelled by means of a hysteresis input-output relation; the input is the temperature field and the output is the order parameter. In this paper we shall show that there exists a solution "globally" in time in a physically reasonable sense, when the coefficient of interfacial energy is sufficiently small.

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