A phase-field model with temperature dependent constraint

This paper is concerned with a phase-held model with temperature dependent constraint for the order parameter. In the kinetic equation of the order pa rameter, we take account of diffusion as well as the undercooled/superheate d state which is modelled by means of a hysteresis input-output relation; t he input is the temperature held 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. (C) 2001 Academic Press.