@article{10902/18173,
year = {2019},
month = {5},
url = {http://hdl.handle.net/10902/18173},
abstract = {We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness parameter of the interface is considered to be very small. The models we derive capture the nonlinear interaction of the original free boundary Darcy and Forchheimer problem up to quadratic terms. Furthermore, we provide models that consider both the two-dimensional and three-dimensional cases, with and without bottom topography.},
organization = {The research of S.S. is supported by the Basque Government, Spain through the BERC 2018–2021 program and by Spanish Ministry of Economy and Competitiveness MINECO through BCAM Severo Ochoa excellence accreditation SEV-2017-0718 and through project MTM2017-82184-R funded by (AEI/FEDER, UE) and acronym “DESFLU”.},
publisher = {Elsevier},
publisher = {Physica D: Nonlinear Phenomena, Volume 392, Pages 1-16},
title = {Asymptotic models for free boundary flow in porous media},
author = {Granero Belinchón, Rafael and Scrobogna, Stefano},
}