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
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author Sánchez, Omar
author_facet Sánchez, Omar
author_sort Sánchez, Omar
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description 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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spelling pubmed-101240922023-04-25 Steady-state solutions for the Muskat problem Sánchez, Omar Collect Math Article 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. Springer Milan 2022-03-08 2023 /pmc/articles/PMC10124092/ /pubmed/37114186 http://dx.doi.org/10.1007/s13348-021-00348-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Sánchez, Omar
Steady-state solutions for the Muskat problem
title Steady-state solutions for the Muskat problem
title_full Steady-state solutions for the Muskat problem
title_fullStr Steady-state solutions for the Muskat problem
title_full_unstemmed Steady-state solutions for the Muskat problem
title_short Steady-state solutions for the Muskat problem
title_sort steady-state solutions for the muskat problem
topic Article
url 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
work_keys_str_mv AT sanchezomar steadystatesolutionsforthemuskatproblem

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