Well-posedness and long time behavior of a hyperbolic Caginalp phase-field system

The aim of this paper is to prove the continuity of exponential attractors for a hyperbolic perturbed Caginalp system to an exponential attractor for the limit parabolichyperbolic Caginalp system. The symmetric distance between the perturbed and unperturbed exponential attractors in terms of the perturbation parameter is obtained.