Existence of a solution to the stochastic nonlocal Cahn-Hilliard Navier-Stokes model via a splitting-up method

被引：8

作者：

Deugoue, G. ^{[1
,2
]}

Moghomye, B. Jidjou ^{[1
]}

Medjo, T. Tachim ^{[2
]}

机构：

[1] Univ Dschang, Dept Math & Comp Sci, POB 67, Dschang, Cameroon

[2] Florida Int Univ, MMC, Dept Math & Stat, Miami, FL 33199 USA

来源：

NONLINEARITY | 2020年 / 33卷 / 07期

关键词：

stochastic Navier-Stokes; nonlocal Cahn-Hilliard; weak martingale solutions; splitting-up method; cylindrical Wiener process; compactness; DIFFERENTIAL-EQUATIONS; CONVERGENCE; MARTINGALE; BEHAVIOR; SYSTEMS;

D O I：

10.1088/1361-6544/ab8020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a stochastic diffuse interface model which describes the motion of an incompressible isothermal mixture of two immiscible fluids under the influence of stochastic external forces in a bounded domain of R-d, d = 2, 3. The model consists of the stochastic Navier-Stokes equations coupled with a nonlocal Cahn-Hilliard equation. We prove the existence of a global weak martingale solution via a numerical scheme based on splitting-up method.

引用

页码：3424 / 3469

页数：46

共 50 条

[31] On the Strong Solutions for a Stochastic 2D nonlocal Cahn-Hilliard-Navier-Stokes Model
Deugoue, G.
Ngana, A. Ndongmo
Medjo, T. Tachim
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2020, 17 (01) : 19 - 60
[32] Nonlocal operator method for the Cahn-Hilliard phase field model
Ren, Huilong
Zhuang, Xiaoying
Nguyen-Thoi Trung
Rabczuk, Timon
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 96
[33] Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration
Vignal, Philippe
Sarmiento, Adel
Cortes, Adriano M. A.
Dalcin, Lisandro
Calo, Victor. M.
INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, ICCS 2015 COMPUTATIONAL SCIENCE AT THE GATES OF NATURE, 2015, 51 : 934 - 943
[34] Energy identity for the incompressible Cahn-Hilliard/Navier-Stokes system with non-degenerate mobility
Georgiadis, Stefanos
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (05):
[35] Convergence for a Splitting-Up Scheme for the 3D Stochastic Navier-Stokes-α Model
Deugoue, Gabriel
Sango, Mamadou
STOCHASTIC ANALYSIS AND APPLICATIONS, 2014, 32 (02) : 253 - 279
[36] On the stationary nonlocal Cahn-Hilliard-Navier-Stokes system: Existence, uniqueness and exponential stability
Biswas, Tania
Dharmatti, Sheetal
Mohan, Manil T.
Perisetti, Lakshmi Naga Mahendranath
ASYMPTOTIC ANALYSIS, 2021, 125 (1-2) : 59 - 99
[37] A PARALLEL SPLITTING-UP METHOD FOR PARTIAL-DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS TO NAVIER-STOKES EQUATIONS
LU, T
NEITTAANMAKI, P
TAI, XC
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1992, 26 (06): : 673 - 708
[38] High-order discontinuous Galerkin approximation for a three-phase incompressible Navier-Stokes/Cahn-Hilliard model
Manzanero, Juan
Redondo, Carlos
Chavez-Modena, Miguel
Rubio, Gonzalo
Valero, Eusebio
Gomez-Alvarez, Susana
Rivero-Jimenez, Angel
COMPUTERS & FLUIDS, 2022, 244
[39] Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
Antonopoulou, Dimitra C.
Karali, Georgia
Millet, Annie
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (03) : 2383 - 2417
[40] Numerical solution of coupled Cahn-Hilliard Navier-Stokes equations for two-phase flows having variable density and viscosity
Sohaib, Muhammad
Shah, Abdullah
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023,

← 1 2 3 4 5 →