The caginalp phase field systems with logarithmic nonlinear terms

Our aim in this paper is to study the existence and uniqueness of solutions to several phase field systems with logarithmic nonlinear terms. These systems were either proposed by Gunduz Cagninalp or are variants of these models, based on other laws than the usual Fourier law for heat conduction. In particular, an essential step is the separation of the order parameter from the pure phases.