A 3D isothermal model for nematic liquid crystals 1 with delay terms

In this paper we consider a model describing the evolution of a nematic liquid crystal flow with delay external forces. We analyze the evolution of the velocity fi eld u which is ruled by the 3D incompressible Navier-Stokes system containing a delay term and with a stress tensor expressing the coupl...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Cavaterra, Cecilia
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/137469
Acceso en línea:https://hdl.handle.net/11441/137469
https://doi.org/10.3934/dcdss.2022097
Access Level:acceso abierto
Palabra clave:Liquid crystals
Navier-Stokes system
delay terms
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spelling A 3D isothermal model for nematic liquid crystals 1 with delay termsCaraballo Garrido, TomásCavaterra, CeciliaLiquid crystalsNavier-Stokes systemdelay termsIn this paper we consider a model describing the evolution of a nematic liquid crystal flow with delay external forces. We analyze the evolution of the velocity fi eld u which is ruled by the 3D incompressible Navier-Stokes system containing a delay term and with a stress tensor expressing the coupling between the transport and the induced terms. The dynamics of the director eld d is described by a modifi ed Allen-Cahn equation with a suitable penalization of the physical constraint jdj = 1. We prove the existence of global in time weak solutions under appropriate assumptions, which in some cases requires the delay term to be small with respect to the viscosity parameter.Ecuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/137469https://doi.org/10.3934/dcdss.2022097reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAmerican institute of mathematical sciences, 15 (8), 6147-6172.https://doi.org/10.3934/dcdss.2022097info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1374692026-06-17T12:51:07Z
dc.title.none.fl_str_mv A 3D isothermal model for nematic liquid crystals 1 with delay terms
title A 3D isothermal model for nematic liquid crystals 1 with delay terms
spellingShingle A 3D isothermal model for nematic liquid crystals 1 with delay terms
Caraballo Garrido, Tomás
Liquid crystals
Navier-Stokes system
delay terms
title_short A 3D isothermal model for nematic liquid crystals 1 with delay terms
title_full A 3D isothermal model for nematic liquid crystals 1 with delay terms
title_fullStr A 3D isothermal model for nematic liquid crystals 1 with delay terms
title_full_unstemmed A 3D isothermal model for nematic liquid crystals 1 with delay terms
title_sort A 3D isothermal model for nematic liquid crystals 1 with delay terms
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Cavaterra, Cecilia
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Cavaterra, Cecilia
author_role author
author2 Cavaterra, Cecilia
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Liquid crystals
Navier-Stokes system
delay terms
topic Liquid crystals
Navier-Stokes system
delay terms
description In this paper we consider a model describing the evolution of a nematic liquid crystal flow with delay external forces. We analyze the evolution of the velocity fi eld u which is ruled by the 3D incompressible Navier-Stokes system containing a delay term and with a stress tensor expressing the coupling between the transport and the induced terms. The dynamics of the director eld d is described by a modifi ed Allen-Cahn equation with a suitable penalization of the physical constraint jdj = 1. We prove the existence of global in time weak solutions under appropriate assumptions, which in some cases requires the delay term to be small with respect to the viscosity parameter.
publishDate 2022
dc.date.none.fl_str_mv 2022
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 https://hdl.handle.net/11441/137469
https://doi.org/10.3934/dcdss.2022097
url https://hdl.handle.net/11441/137469
https://doi.org/10.3934/dcdss.2022097
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv American institute of mathematical sciences, 15 (8), 6147-6172.
https://doi.org/10.3934/dcdss.2022097
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.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 15.300724

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