Article
On an Asymptotic Model for Free Boundary Darcy Flow in Porous Media
Author/s | Granero Belinchón, Rafael
Scrobogna, Stefano |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2020 |
Deposit Date | 2023-04-13 |
Published in |
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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 ... 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. |
Citation | Granero 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. |
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