Solution to a stochastic 3D nonlocal Cahn-Hilliard-Navier-Stokes model with shear dependent viscosity via a splitting-up method

被引：0
|
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, Dept Math & Stat, MMC, Miami, FL 33199 USA
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2022年 / 29卷 / 02期
关键词：
Stochastic Navier-Stokes; Nonlocal Cahn-Hilliard; Weak martingale solutions; Splitting-up method; cylindrical Wiener process; Compactness; PHASE SEGREGATION DYNAMICS; DIFFUSE INTERFACE MODEL; LONG-RANGE INTERACTIONS; DIFFERENTIAL-EQUATIONS; PARTICLE-SYSTEMS; FIELD MODEL; APPROXIMATION; EXISTENCE; FLUIDS; CONVERGENCE;
D O I：
10.1007/s00030-021-00742-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a stochastic version of a nonlinear system, which describes the motion of an incompressible mixture of two immiscible non-Newtonian fluids under the influence of the stochastic external forces. The model consists of the stochastic Navier-Stokes equations with shear dependent viscosity controlled by a power p > 2, coupled with a convective nonlocal Cahn-Hilliard equations. We prove the existence of a weak martingale solution when p >= 11/5 via a time discretisation based on the splitting-up method.
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页数：54
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