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.
| Original language | English |
|---|---|
| Pages (from-to) | 3887-3933 |
| Number of pages | 47 |
| Journal | Journal of Differential Equations |
| Volume | 257 |
| Issue number | 10 |
| DOIs | |
| State | Published - Nov 15 2014 |
Keywords
- Cahn-Hilliard-Stokes-Darcy system
- Diffuse-interface model
- Interface boundary conditions
- Karstic geometry
- Two phase flow
- Well-posedness
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