A conserved phase field system with memory and relaxed chemical potential

摘要

In this paper we propose a conserved phase-field model with memory and relaxed chemical potential. Our model could be considered also in the frame of Cahn-Hilliard's theory of spinodal decomposition of a binary mixture, where there is a coupling to a slowly relaxing variable, e.g., in phase separation of polymer mixtures near a glass transition. The global well-posedness in an L-p-setting is obtained under suitable relaxation functions and under homogeneous conditions. (c) 2006 Elsevier Inc. All rights reserved.