On the effect of boundaries in two-phase porous flow

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.

Bibliographic Details
Authors: Granero Belinchón, Rafael|||0000-0003-2752-8086, Navarro, Gustavo, Ortega, Alejandro
Format: article
Publication Date:2015
Country:España
Institution:Universidad de Cantabria (UC)
Repository:UCrea Repositorio Abierto de la Universidad de Cantabria
Language:English
OAI Identifier:oai:repositorio.unican.es:10902/29549
Online Access:https://hdl.handle.net/10902/29549
Access Level:Open access
Keyword:Muskat problem
Porous medium
One-dimensional model
Description
Summary: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.