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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Medjo, T. Tachim¹ 

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

关键词: Stochastic Cahn-Hilliard;    Navier-Stokes Martingale solutions;    Levy noise;    Galerkin approximation;   

DOI  :  10.1016/j.jmaa.2019.123680

来源: Elsevier

【 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.

【 授权许可】

Free