Darcy-Cahn-Hilliard系统的全局吸引子

On Global Attractors of Darcy-Cahn-Hilliard System

Darcy-Cahn-Hilliard系统是经典的流体扩散界面模型.本文主要对Darcy-Cahn-Hilliard系统全局吸引子的存在性进行研究,首先得到了弱解的适定性,给出了一些解的能量估计以及渐近估计,其次利用半群理论、空间嵌入定理以及紧性引理分别得到L^(2)(Ω)与H^(1)(Ω)空间全局吸引子的存在性.

Darcy-Cahn-Hilliard system is a classical flfluid diffusion interface model.In this paper,the existence of global attractor for the Darcy-Cahn-Hilliard system has been studied,with the well-posedness of weak solution got,some energy estimates and asymptotical estimates given for the Darcy-Cahn-Hilliard system.Then the existence of global attractors in L^(2)(Ω),H^(1)(Ω)is obtained respectively by using semigroup theory,space embedding theorem and compactness lemma.