@article{10902/29584,
year = {2022},
month = {8},
url = {https://hdl.handle.net/10902/29584},
abstract = {In this work we study the inhomogeneous Muskat problem, i.e. the evolution of an internal wave between two different fluids in a porous medium with discontinuous permeability. In particular, under precise conditions on the initial datum and the physical quantities of the problem, our results ensure the decay of the solutions towards the equilibrium state in the Lipschitz norm. In addition, we establish the global existence and decay of Lipschitz solutions.},
organization = {DA-O is supported by the Alexander von Humboldt Foundation and by the Spanish MINECO through Juan de la Cierva fellowship FJC2020-046032-I. RG-B was supported by the project ‘Mathematical Analysis of Fluids and Applications’ Grant PID2019-109348GA-I00 funded by MCIN/AEI/10.13039/501100011033 and acronym ‘MAFyA’. This publication is part of the Project PID2019-109348GA-I00/AEI/10.13039/501100011033. Project supported by a 2021 Leonardo Grant for Researchers and Cultural Creators, BBVA Fundation.},
publisher = {Institute of Physics},
publisher = {Nonlinearity, 2022, 35, 4749-4778},
title = {Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data},
author = {Alonso Orán, Diego and Granero Belinchón, Rafael},
}