守恒相场模型的适定性和指数吸引子

Well-posedness and Exponential Attractor of the Conserved Phase-field Model

研究Cahn-Hilliard方程与热方程耦合形成的一类守恒相场系统.在非线性项f(u)更一般的限制条件下,研究守恒相场系统的适定性和指数吸引子的存在性,所得结果推广了一些已有结论.

In this paper,we study a class of conserved phase-field systems that consist of the coupling of the Cahn-Hilliard equation with the heat equation studied.We are interested in studying the well-posedness and existence of exponential attractors of the conserved phase-field system with more general conditions of the nonlinear term f(u),and some existing results will be generalized.