Abstract
In this paper, we construct a robust family of exponential attractors for a parabolic-hyperbolic phase-field system (PHPFS), which describes phase separation in material sciences, e.g., melting and solidification. A consequence of this is the existence of finite fractal dimensional global attractors which are both upper and lower semicontinuous at the parameter epsilon = 0. Hence we establish the convergence of the dynamics of PHPFS to those of the well known Cagilnap phase-field system.