Some properties on the Q-Tensor system

We study the coupled Navier-Stokes and Q-Tensor system (analyzed in cf. [Paicu, M., and Zarnescu, A. Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system. Arch. Ration. Mech. Anal. 203 (2012), 45–67] in the whole R3) in a bounded three-dimensional domain for several boun...

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Autores: Guillén González, Francisco Manuel, Rodríguez Bellido, María Ángeles, López de Silanes Busto, María Cruz (Coordinador), Palacios Latasa, Manuel Pedro (Coordinador), Sanz Sáiz, Gerardo (Coordinador), Amrouche, Chérif (Coordinador)
Tipo de recurso: capítulo de libro
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48224
Acceso en línea:http://hdl.handle.net/11441/48224
Access Level:acceso abierto
Palabra clave:Q-Tensor
Navier-Stokes equations
Symmetry
Weak solution
Strong solution
Uniqueness
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spelling Some properties on the Q-Tensor systemGuillén González, Francisco ManuelRodríguez Bellido, María ÁngelesLópez de Silanes Busto, María Cruz (Coordinador)Palacios Latasa, Manuel Pedro (Coordinador)Sanz Sáiz, Gerardo (Coordinador)Amrouche, Chérif (Coordinador)Q-TensorNavier-Stokes equationsSymmetryWeak solutionStrong solutionUniquenessWe study the coupled Navier-Stokes and Q-Tensor system (analyzed in cf. [Paicu, M., and Zarnescu, A. Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system. Arch. Ration. Mech. Anal. 203 (2012), 45–67] in the whole R3) in a bounded three-dimensional domain for several boundary conditions, rewriting the system in a way that properties as symmetry and null-trace for the tensor Q can be proved. We show some analytical results such as: the existence of global in time weak solution, a maximum principle for the Q-tensor, local in time strong solution (which is global assuming an additional regularity criterion for the velocity in the space-periodic boundary condition case), global in time strong solution imposing dominant viscosity (for the space-periodic or homogeneous Neumann boundary condition cases) and regularity criteria for uniqueness of weak solutions.Universidad de ZaragozaLópez de Silanes Busto, María CruzPalacios Latasa, Manuel PedroSanz Sáiz, GerardoAmrouche, ChérifEcuaciones Diferenciales y Análisis NuméricoFQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software2014info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/48224reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésTwelfth International Conference Zaragoza-Pau on Mathematics: Jaca (Spain), September 17-19, 2012MTM2009-12927http://pcmap.unizar.es/~jaca2014/PDFXII/Guillen_Gonzalez.pdfZaragozainfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/482242026-06-17T12:51:07Z
dc.title.none.fl_str_mv Some properties on the Q-Tensor system
title Some properties on the Q-Tensor system
spellingShingle Some properties on the Q-Tensor system
Guillén González, Francisco Manuel
Q-Tensor
Navier-Stokes equations
Symmetry
Weak solution
Strong solution
Uniqueness
title_short Some properties on the Q-Tensor system
title_full Some properties on the Q-Tensor system
title_fullStr Some properties on the Q-Tensor system
title_full_unstemmed Some properties on the Q-Tensor system
title_sort Some properties on the Q-Tensor system
dc.creator.none.fl_str_mv Guillén González, Francisco Manuel
Rodríguez Bellido, María Ángeles
López de Silanes Busto, María Cruz (Coordinador)
Palacios Latasa, Manuel Pedro (Coordinador)
Sanz Sáiz, Gerardo (Coordinador)
Amrouche, Chérif (Coordinador)
author Guillén González, Francisco Manuel
author_facet Guillén González, Francisco Manuel
Rodríguez Bellido, María Ángeles
López de Silanes Busto, María Cruz (Coordinador)
Palacios Latasa, Manuel Pedro (Coordinador)
Sanz Sáiz, Gerardo (Coordinador)
Amrouche, Chérif (Coordinador)
author_role author
author2 Rodríguez Bellido, María Ángeles
López de Silanes Busto, María Cruz (Coordinador)
Palacios Latasa, Manuel Pedro (Coordinador)
Sanz Sáiz, Gerardo (Coordinador)
Amrouche, Chérif (Coordinador)
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv López de Silanes Busto, María Cruz
Palacios Latasa, Manuel Pedro
Sanz Sáiz, Gerardo
Amrouche, Chérif
Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software
dc.subject.none.fl_str_mv Q-Tensor
Navier-Stokes equations
Symmetry
Weak solution
Strong solution
Uniqueness
topic Q-Tensor
Navier-Stokes equations
Symmetry
Weak solution
Strong solution
Uniqueness
description We study the coupled Navier-Stokes and Q-Tensor system (analyzed in cf. [Paicu, M., and Zarnescu, A. Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system. Arch. Ration. Mech. Anal. 203 (2012), 45–67] in the whole R3) in a bounded three-dimensional domain for several boundary conditions, rewriting the system in a way that properties as symmetry and null-trace for the tensor Q can be proved. We show some analytical results such as: the existence of global in time weak solution, a maximum principle for the Q-tensor, local in time strong solution (which is global assuming an additional regularity criterion for the velocity in the space-periodic boundary condition case), global in time strong solution imposing dominant viscosity (for the space-periodic or homogeneous Neumann boundary condition cases) and regularity criteria for uniqueness of weak solutions.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
info:eu-repo/semantics/publishedVersion
format bookPart
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/48224
url http://hdl.handle.net/11441/48224
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Twelfth International Conference Zaragoza-Pau on Mathematics: Jaca (Spain), September 17-19, 2012
MTM2009-12927
http://pcmap.unizar.es/~jaca2014/PDFXII/Guillen_Gonzalez.pdf
Zaragoza
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 Universidad de Zaragoza
publisher.none.fl_str_mv Universidad de Zaragoza
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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