Granero Belinchón, RafaelScrobogna, Stefano2023-04-132023-04-132020Granero Belinchón, R. y Scrobogna, S. (2020). On an Asymptotic Model for Free Boundary Darcy Flow in Porous Media. SIAM Journal on Mathematical Analysis, 52 (5), 4937-4970. https://doi.org/10.1137/19M126623X.0036-14101095-7154https://hdl.handle.net/11441/144297We 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.application/pdf34 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Muskat problemMoving interfacesFree boundary problemsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1137/19M126623X