TRAJECTORY STATISTICAL SOLUTIONS FOR THE CAHN-HILLIARD-NAVIER-STOKES SYSTEM WITH MOVING CONTACT LINES

被引：0
作者：
You, Bo [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年
基金：
美国国家科学基金会;
关键词：
Cahn-Hilliard-Navier-Stokes system; moving contact lines; energy so-lutions; trajectory attractor; trajectory statistical solutions; PHASE FIELD MODEL; SHARP-INTERFACE LIMIT; FINITE-ELEMENT-METHOD; INVARIANT-MEASURES; ATTRACTOR; ENERGY;
D O I：
10.3934/dcdsb.2021251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this paper is to consider the long-time behavior of solutions for the Cahn-Hilliard-Navier-Stokes system with moving contact lines. As we know, it is very difficult to obtain the uniqueness of an energy solution for this system even in two dimensions caused by the presence of the strong coupling at the boundary. Thus, we first prove the existence of a trajectory attractor for such system, which is a minimal compact trajectory attracting set for the natural translation semigroup defined on the trajectory space. Furthermore, based on the abstract results (trajectory attractor approach) developed in [38], we construct trajectory statistical solutions for the Cahn-Hilliard-Navier-Stokes system with moving contact lines.
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页码：4769 / 4785
页数：17
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