Istituto di Matematica Applicata e Tecnologie Informatiche     
Colli P., Kenmochi N., Kubo M. A phase field model with temperature dependent constraint. Preprint ercim.cnr.ian//2000-1173, 2000.
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 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.
Subject Phase-field system, Temperature dependent constraint, Global existence
80A22, 35K60, 35R35, 47H15

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