@article{10902/20662,
year = {2020},
url = {http://hdl.handle.net/10902/20662},
abstract = {We provide a rigorous mathematical study of an asymptotic model describing Darcy flow with free boundary in a small amplitude/large wavelength approximation. In particular, we prove several well-posedness results in critical spaces. Furthermore, we also study how the solution decays towards the flat equilibrium.},
organization = {The work of the first author was supported by the Ministerio de Ciencia, Innovacion
y Universidades MICIU through the project ``Mathematical Analysis of Fluids and Applications,""
grant PID2019-109348GA-I00 and acronym ``MAFyA."" The work of the second author was supported
by the Basque Government through the BERC 2018-2021 program and the 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 = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Mathematical Analysis 2020, Vol. 52, No. 5, pp. 4937-4970},
title = {On an asymptotic model for free boundary darcy flow in porous media},
author = {Granero Belinchón, Rafael and Scrobogna, Stefano},
}