Steady-state solutions for the Muskat problem

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 valu...

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Detalles Bibliográficos
Autor principal: Sánchez, Omar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Milan 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10124092/
https://www.ncbi.nlm.nih.gov/pubmed/37114186
http://dx.doi.org/10.1007/s13348-021-00348-z
Descripción
Sumario: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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