Steady-state solutions for the Muskat problem
Publisher
SpringerDate
2022-03-08Citation
Collectanea MathematicaISSN
0010-0757 (print); 2038-4815 (online)Funded by
This work is supported by the Spanish Ministry of Economy under the ICMAT Severo Ochoa Grant PRE2018-084508, by the Europa Excelencia program ERC2018-092824, the ERC Advanced Grant 788250, the ERC Advanced Grant 834728 and by the MTM2017-85934-C3-2-P and partially supported by the MTM2017-89976-PProject
Gobierno de España. ERC2018-092824; Gobierno de España. MTM2017-85934-C3-2-PEditor's Version
https://doi.org/10.1007/s13348-021-00348-zSubjects
Muskat problem; Fingering patterns; Steady state solutions; Periodic solution; MatemáticasRights
© The Author(s) 2022
Abstract
In this paper we study the existence of stationary solutions for the Muskat problem with a
large surface tension coefficient. Ehrnstrom, Escher and Matioc studied in Mats Ehrnström
(Methods Appl Anal 20:33-46, 2013) that there exists solutions to this problem for surface
tensions below a finite value. In these notes we go beyond this value considering large surface
tension. Also by numerical simulation we show some examples that explains the behavior of
solutions
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Google™ Scholar:Sánchez Antonio, Omar