具有动态边界条件的Cahn-Hilliard-Navier-Stokes系统解的渐近行为

Asymptotic Behavior of Solutions for the Cahn-Hilliard-Navier-Stokes System with Dynamic Boundary Conditions

Cahn-Hilliard-Navier-Stokes系统是描述两种互不相溶且不可压缩流体演化的著名界面系统.本文主要研究一般非线性条件下具有动态边界的Cahn-Hilliard-Navier-Stokes系统解的适定性及长时间行为,证明了弱解的整体存在性和唯一性,建立了在H×V_(I)中全局吸引子的存在性.

Cahn-Hilliard-Navier-Stokes system is a well-known interface system that de­scribes the evolution of two immiscible incompressible fluids.The authors'aim in this pa­per is to study the well-posedness and longtime behavior of solutions for the Cahn-Hilliard-Navier-S tokes system with dynamic boundary conditions,the global existence,uniqueness of weak solutions for this system are proved and the existence of a global&ttractor inH xV_(I) is also established.