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.
引用
收藏
页码：4769 / 4785
页数：17
相关论文
共 50 条
  • [41] Pullback exponential attractors for the viscous Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions
    You, Bo
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 478 (02) : 321 - 344
  • [42] On a Class of Higher-Order Fully Decoupled Schemes for the Cahn-Hilliard-Navier-Stokes System
    Li, Xiaoli
    Liu, Zhengguang
    Shen, Jie
    Zheng, Nan
    JOURNAL OF SCIENTIFIC COMPUTING, 2025, 103 (01)
  • [43] Implicit-Explicit Schemes for Compressible Cahn-Hilliard-Navier-Stokes Equations
    Mulet, Pep
    JOURNAL OF SCIENTIFIC COMPUTING, 2024, 101 (02)
  • [44] Regularity criterion on energy equality for compressible Cahn-Hilliard-Navier-Stokes equations
    Liang, Zhilei
    Shuai, Jiangyu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (01) : 287 - 300
  • [45] Regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations and associated computations
    Gibbon, John D.
    Pal, Nairita
    Gupta, Anupam
    Pandit, Rahul
    PHYSICAL REVIEW E, 2016, 94 (06)
  • [46] Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines
    Ciprian G. Gal
    Maurizio Grasselli
    Andrea Poiatti
    Journal of Mathematical Fluid Mechanics, 2023, 25
  • [47] Martingale solutions to stochastic nonlocal Cahn-Hilliard-Navier-Stokes equations with multiplicative noise of jump type
    Deugoue, G.
    Ngana, A. Ndongmo
    Medjo, T. Tachim
    PHYSICA D-NONLINEAR PHENOMENA, 2019, 398 : 23 - 68
  • [48] THE EXPONENTIAL BEHAVIOR OF A STOCHASTIC CAHN-HILLIARD-NAVIER-STOKES MODEL WITH MULTIPLICATIVE NOISE
    Medjo, T. Tachim
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (03) : 1117 - 1138
  • [49] Analysis of a Linearized Energy Stable Numerical Scheme for a Modified Incompressible Cahn-Hilliard-Navier-Stokes System
    Wang, Xue
    Jia, Hong-en
    Li, Ming
    Li, Kai-tai
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2023, 39 (03): : 605 - 622
  • [50] An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media
    Liu, Chen
    Frank, Florian
    Thiele, Christopher
    Alpak, Faruk O.
    Berg, Steffen
    Chapman, Walter
    Riviere, Beatrice
    JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 400
12345