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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Bibliographic Details
Author: Sánchez Antonio, Omar
Format: article
Publication Date:2022
Country:España
Institution:IAPH
Repository:Biblos-e Archivo. Repositorio Institucional de la UAM
Language:English
OAI Identifier:oai:repositorio.uam.es:10486/702674
Online Access:http://hdl.handle.net/10486/702674
https://dx.doi.org/10.1007/s13348-021-00348-z
Access Level:Open access
Keyword:Muskat problem
Fingering patterns
Steady state solutions
Periodic solution
Matemáticas
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spelling Steady-state solutions for the Muskat problemSánchez Antonio, OmarMuskat problemFingering patternsSteady state solutionsPeriodic solutionMatemáticasIn 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 solutionsThis 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-PSpringerFacultad de Ciencias20222022-03-08research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/702674https://dx.doi.org/10.1007/s13348-021-00348-zreponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:IAPHInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7026742026-06-23T12:46:27Z
dc.title.none.fl_str_mv Steady-state solutions for the Muskat problem
title Steady-state solutions for the Muskat problem
spellingShingle Steady-state solutions for the Muskat problem
Sánchez Antonio, Omar
Muskat problem
Fingering patterns
Steady state solutions
Periodic solution
Matemáticas
title_short 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_sort Steady-state solutions for the Muskat problem
dc.creator.none.fl_str_mv Sánchez Antonio, Omar
author Sánchez Antonio, Omar
author_facet Sánchez Antonio, Omar
author_role author
dc.contributor.none.fl_str_mv Facultad de Ciencias
dc.subject.none.fl_str_mv Muskat problem
Fingering patterns
Steady state solutions
Periodic solution
Matemáticas
topic Muskat problem
Fingering patterns
Steady state solutions
Periodic solution
Matemáticas
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
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-03-08
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/702674
https://dx.doi.org/10.1007/s13348-021-00348-z
url http://hdl.handle.net/10486/702674
https://dx.doi.org/10.1007/s13348-021-00348-z
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:IAPH
instname_str IAPH
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
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repository.mail.fl_str_mv
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