Title

Existence and Uniqueness of Global Weak Solutions to a Cahn-Hilliard-Stokes-Darcy System for Two Phase Incompressible Flows in Karstic Geometry

Abstract

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.

Department(s)

Mathematics and Statistics

Comments

Wang and Han acknowledge the support of NSF (DMS1312701) and a Planning Grant from FSU . Wu was partially supported by NSF of China 11371098 and "Zhuo Xue" program of Fudan University .

Keywords and Phrases

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

International Standard Serial Number (ISSN)

0022-0396

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2014 Academic Press Inc., All rights reserved.

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