Splitting-up scheme for the stochastic Cahn-Hilliard Navier-Stokes model

被引：2
|
作者：
Deugoue, Gabriel [1 ]
Moghomye, Boris Jidjou [1 ]
Medjo, Theodore Tachim [2 ]
机构：
[1] Univ Dschang, Dept Math & Comp Sci, POB 67, Dschang, Cameroon
[2] Florida Int Univ, MMC, Dept Math, Miami, FL 33199 USA
来源：
STOCHASTICS AND DYNAMICS | 2021年 / 21卷 / 01期
关键词：
Stochastic Navier-Stokes; Cahn-Hilliard; weak martingale solutions; splitting-up method; Q-Wiener process; compactness; PHASE-FIELD MODEL; DIFFERENTIAL-EQUATIONS; APPROXIMATION; CONVERGENCE; FLUID; ATTRACTOR; MIXTURE;
D O I：
10.1142/S0219493721500052
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we consider a stochastic Cahn-Hilliard Navier-Stokes system in a bounded domain of d, d = 2, 3. The system models the evolution of an incompressible isothermal mixture of binary fluids under the influence of stochastic external forces. We prove the existence of a global weak martingale solution. The proof is based on the splitting-up method as well as some compactness method.
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页数：46
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