On the effect of boundaries in two-phase porous flow
arXiv:1408.4079 · doi:10.1088/0951-7715/28/2/435
Abstract
In this paper we study a model of an interface between two fluids in a porous medium. For this model we prove several local and global well-posedness results and study some of its qualitative properties. We also provide numerics.
References in corpus (7)
- On the global existence for the Muskat problem
- Breakdown of smoothness for the Muskat problem
- An approximate treatment of gravitational collapse
- A maximum principle for the Muskat problem for fluids with different densities
- Global existence and decay for solutions of the Hele-Shaw flow with injection
- Global existence for the confined Muskat problem
- Local solvability and turning for the inhomogeneous Muskat problem