Self-similar solutions for the Muskat equation

We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by $0<|s| \ll 1$; they are exact corners of slope $s$ at $t=0$ and become smooth in $x$ for $t>0$.

Detalles Bibliográficos
Autores: García Juárez, Eduardo, Gómez Serrano, Javier, Nguyen, Huy Q., Pausader, Benoît
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/217592
Acceso en línea:https://hdl.handle.net/2445/217592
Access Level:acceso abierto
Palabra clave:Equacions en derivades parcials
Mecànica de fluids
Partial differential equations
Fluid mechanics
id ES_8cfec3ec573ed9f74dbfff58ed36bab5
oai_identifier_str oai:diposit.ub.edu:2445/217592
network_acronym_str ES
network_name_str España
repository_id_str
spelling Self-similar solutions for the Muskat equationGarcía Juárez, EduardoGómez Serrano, JavierNguyen, Huy Q.Pausader, BenoîtEquacions en derivades parcialsMecànica de fluidsPartial differential equationsFluid mechanicsWe show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by $0<|s| \ll 1$; they are exact corners of slope $s$ at $t=0$ and become smooth in $x$ for $t>0$.Elsevier B.V.2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/217592Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1016/j.aim.2022.108294Advances in Mathematics, 2022, vol. 399https://doi.org/10.1016/j.aim.2022.108294cc-by (c) Eduardo García Juárez et al., 2022http://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2175922026-05-27T06:46:51Z
dc.title.none.fl_str_mv Self-similar solutions for the Muskat equation
title Self-similar solutions for the Muskat equation
spellingShingle Self-similar solutions for the Muskat equation
García Juárez, Eduardo
Equacions en derivades parcials
Mecànica de fluids
Partial differential equations
Fluid mechanics
title_short Self-similar solutions for the Muskat equation
title_full Self-similar solutions for the Muskat equation
title_fullStr Self-similar solutions for the Muskat equation
title_full_unstemmed Self-similar solutions for the Muskat equation
title_sort Self-similar solutions for the Muskat equation
dc.creator.none.fl_str_mv García Juárez, Eduardo
Gómez Serrano, Javier
Nguyen, Huy Q.
Pausader, Benoît
author García Juárez, Eduardo
author_facet García Juárez, Eduardo
Gómez Serrano, Javier
Nguyen, Huy Q.
Pausader, Benoît
author_role author
author2 Gómez Serrano, Javier
Nguyen, Huy Q.
Pausader, Benoît
author2_role author
author
author
dc.subject.none.fl_str_mv Equacions en derivades parcials
Mecànica de fluids
Partial differential equations
Fluid mechanics
topic Equacions en derivades parcials
Mecànica de fluids
Partial differential equations
Fluid mechanics
description We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by $0<|s| \ll 1$; they are exact corners of slope $s$ at $t=0$ and become smooth in $x$ for $t>0$.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/217592
url https://hdl.handle.net/2445/217592
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1016/j.aim.2022.108294
Advances in Mathematics, 2022, vol. 399
https://doi.org/10.1016/j.aim.2022.108294
dc.rights.none.fl_str_mv cc-by (c) Eduardo García Juárez et al., 2022
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Eduardo García Juárez et al., 2022
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869412978307104768
score 15,812429

Similares en LA Referencia