@article{10902/29583,
year = {2014},
url = {https://hdl.handle.net/10902/29583},
abstract = {We study the evolution of the interface given by two incompressible fluids with different densities in the porous strip. This problem is known as the Muskat problem and is analogous to the two phase Hele-Shaw cell. The main goal of this paper is to compare the qualitative properties between the model when the fluids move without boundaries and the model when the fluids are confined. We find that, in a precise sense, the boundaries decrease the diffusion rate and the system becomes more singular.},
organization = {The authors are supported by the Grants MTM2011- 26696 and SEV-2011-0087 from Ministerio de Ciencia e Innovacion (MICINN). Diego Cordoba was partially supported by StG-203138CDSIF of the ERC. The authors are grateful to A. Castro and F. Gancedo for their helpful comments during the preparation of this work. The authors would like to thank the referees for their help in improving the manuscript.},
publisher = {International Press},
publisher = {Communications in Mathematical Sciences, 2014, 12(3), 423-455},
title = {The confined muskat problem: differences with the deep water regime},
author = {Córdoba, Diego and Granero Belinchón, Rafael and Orive Illera, Rafael},
}