Analytical behavior of two-dimensional incompressible flow in porous media

In this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy’s law. We obtain local existence and uniqueness by the particle-trajectory method and we present different global existence criterions. These analytic...

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Authors: Córdoba Gazolaz, Diego, Gancedo García, Francisco, Orive Illera, Rafael
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:2007
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/45315
Online Access:http://hdl.handle.net/11441/45315
https://doi.org/10.1063/1.2404593
Access Level:Open access
Keyword:Flows in porous media
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spelling Analytical behavior of two-dimensional incompressible flow in porous mediaCórdoba Gazolaz, DiegoGancedo García, FranciscoOrive Illera, RafaelFlows in porous mediaIn this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy’s law. We obtain local existence and uniqueness by the particle-trajectory method and we present different global existence criterions. These analytical results with numerical simulations are used to indicate nonformation of singularities. Moreover, blow-up results are shown in a class of solutions with infinite energy.Ministerio de Educación y CienciaComunidad Autónoma de MadridAIP Publishing (American Institute of Physics)Análisis MatemáticoFQM104: Analisis MatematicoMinisterio de Educación y Ciencia (MEC). EspañaComunidad Autónoma de Madrid2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/45315https://doi.org/10.1063/1.2404593reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Physics, 48 (6)MTM2005-05980S-0505/ESP/0158MTM2005-00714http://dx.doi.org/10.1063/1.2404593info:eu-repo/semantics/openAccessoai:idus.us.es:11441/453152026-06-17T12:51:07Z
dc.title.none.fl_str_mv Analytical behavior of two-dimensional incompressible flow in porous media
title Analytical behavior of two-dimensional incompressible flow in porous media
spellingShingle Analytical behavior of two-dimensional incompressible flow in porous media
Córdoba Gazolaz, Diego
Flows in porous media
title_short Analytical behavior of two-dimensional incompressible flow in porous media
title_full Analytical behavior of two-dimensional incompressible flow in porous media
title_fullStr Analytical behavior of two-dimensional incompressible flow in porous media
title_full_unstemmed Analytical behavior of two-dimensional incompressible flow in porous media
title_sort Analytical behavior of two-dimensional incompressible flow in porous media
dc.creator.none.fl_str_mv Córdoba Gazolaz, Diego
Gancedo García, Francisco
Orive Illera, Rafael
author Córdoba Gazolaz, Diego
author_facet Córdoba Gazolaz, Diego
Gancedo García, Francisco
Orive Illera, Rafael
author_role author
author2 Gancedo García, Francisco
Orive Illera, Rafael
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM104: Analisis Matematico
Ministerio de Educación y Ciencia (MEC). España
Comunidad Autónoma de Madrid
dc.subject.none.fl_str_mv Flows in porous media
topic Flows in porous media
description In this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy’s law. We obtain local existence and uniqueness by the particle-trajectory method and we present different global existence criterions. These analytical results with numerical simulations are used to indicate nonformation of singularities. Moreover, blow-up results are shown in a class of solutions with infinite energy.
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/45315
https://doi.org/10.1063/1.2404593
url http://hdl.handle.net/11441/45315
https://doi.org/10.1063/1.2404593
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Physics, 48 (6)
MTM2005-05980
S-0505/ESP/0158
MTM2005-00714
http://dx.doi.org/10.1063/1.2404593
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv AIP Publishing (American Institute of Physics)
publisher.none.fl_str_mv AIP Publishing (American Institute of Physics)
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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