Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Han, Daozhi¹  Wang, Xiaoming¹  Wu, Hao^2,3 

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

关键词: Cahn-Hilliard-Stokes-Darcy system;    Two phase flow;    Karstic geometry;    Interface boundary conditions;    Diffuse-interface model;    Well-posedness;   

DOI  :  10.1016/j.jde.2014.07.013

来源: Elsevier

【 摘 要 】

We study the well-posedness of a coupled Cahn-Hilliard-Stokes-Darcy system which is a diffuse-interface model for essentially immiscible two phase incompressible flows with matched density in a karstic geometry. Existence of finite energy weak solution that is global in time is established in both 2D and 3D. Weak strong uniqueness property of the weak-solutions is provided as well. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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