Weak solution of a stochastic 3D Cahn-Hilliard-Navier-Stokes model driven by jump noise

被引：2

作者：

Medjo, T. Tachim ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math, DM413B Univ Pk, Miami, FL 33199 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 484卷 / 01期

关键词：

Stochastic Cahn-Hilliard; Navier-Stokes Martingale solutions; Levy noise; Galerkin approximation; PHASE-FIELD MODEL; EQUATIONS DRIVEN; GLOBAL-SOLUTIONS; MARTINGALE SOLUTIONS; EVOLUTION-EQUATIONS; WELL-POSEDNESS; 2-PHASE FLOW; 2D; FLUIDS; EXISTENCE;

D O I：

10.1016/j.jmaa.2019.123680

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a stochastic 2D and 3D Cahn-Hilliard-Navier-Stokes system with a multiplicative noise of Levy type. The model consists of the Navier-Stokes equations for the velocity, coupled with a Cahn-Hilliard system for the order (phase) parameter. We prove that the system the existence of weak martingale solution for both 2D and 3D cases. The proof of the existence is based on a classical Galerkin approximation as well as some compactness methods. In the 2D case, we prove the pathwise uniqueness of the weak solution. 2019 Elsevier Inc. All rights reserved.

引用

页数：41

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