@article{10902/29549, year = {2015}, month = {2}, url = {https://hdl.handle.net/10902/29549}, 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.}, organization = {RGB and GN thanks Prof. Garving K. Luli for fruitful discussions. RGB and GN gratefully acknowledge the support by the Department of Mathematics at UC Davis where this research was performed. RGB is partially supported by the grant MTM2011-26696 from the former Ministerio de Ciencia e Innovación (MICINN, Spain).}, publisher = {Institute of Physics}, publisher = {Nonlinearity, 2015, 28, 435-461}, title = {On the effect of boundaries in two-phase porous flow}, author = {Granero Belinchón, Rafael and Navarro, Gustavo and Ortega, Alejandro}, }