Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness

"In this thesis we consider two problems for the Navier-Stokes equations. One problem is blow-up ratcys to solutions of the Navier-Stokes equation if a singularity exists at time T in the homogeneous periodic Sobolev spaces, in particular in the cases s = 3/2 and s = 5/2 where we prove the blow...

Full description

Autores:
Montero Rosero, Julio Andrés
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2017
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/7705
Acceso en línea:
http://hdl.handle.net/1992/7705
Palabra clave:
Ecuaciones de Navier-Stokes - Investigaciones
Espacios de Banach - Investigaciones
Espacios de Sobolev - Investigaciones
Matemáticas
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
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spelling Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Giniatoulline, Andrei41cd10fc-abce-44c7-ab15-a6acdc491ed2500Robinson, James A.47cc2411-1807-4e9b-a3d3-9d719cefc271500Healey, Timothy9e289a0a-8532-4843-a233-6beeae32fd3f500Cortissoz Iriarte, Jean Carlosvirtual::979-1Montero Rosero, Julio Andrésa127f0ef-8d3a-4dce-ba15-59f843a6e8dc5002018-09-27T16:36:37Z2018-09-27T16:36:37Z2017http://hdl.handle.net/1992/770510.57784/1992/7705u729105.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/"In this thesis we consider two problems for the Navier-Stokes equations. One problem is blow-up ratcys to solutions of the Navier-Stokes equation if a singularity exists at time T in the homogeneous periodic Sobolev spaces, in particular in the cases s = 3/2 and s = 5/2 where we prove the blow-up rates... "Doctor en MatemáticasDoctorado62 hojasapplication/pdfengUniandesDoctorado en MatemáticasFacultad de CienciasDepartamento de Matemáticasinstname:Universidad de los Andesreponame:Repositorio Institucional SénecaNavier-stokes equations - possible blow-up, self-similar solutions and backward uniquenessTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesishttp://purl.org/coar/resource_type/c_db06http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TDEcuaciones de Navier-Stokes - InvestigacionesEspacios de Banach - InvestigacionesEspacios de Sobolev - InvestigacionesMatemáticasPublicationhttps://scholar.google.es/citations?user=44Ujs4QAAAAJvirtual::979-10000-0002-7440-4425virtual::979-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000821411virtual::979-109606ca2-87c9-4df9-b557-b65295156fdfvirtual::979-109606ca2-87c9-4df9-b557-b65295156fdfvirtual::979-1ORIGINALu729105.pdfapplication/pdf456746https://repositorio.uniandes.edu.co/bitstreams/72bcfd65-52bf-4b99-bd2c-d7aaff260116/downloadd71d4d774e7a8f98df7e9da669a09e97MD51THUMBNAILu729105.pdf.jpgu729105.pdf.jpgIM Thumbnailimage/jpeg6829https://repositorio.uniandes.edu.co/bitstreams/18c6cb31-e479-40de-b581-94d2c78adf89/downloadfbe08d1a7c4ddc09eb3384b603547becMD55TEXTu729105.pdf.txtu729105.pdf.txtExtracted texttext/plain86183https://repositorio.uniandes.edu.co/bitstreams/5e68bea1-b804-4d88-80e1-833d0fa3646c/download9ff8ec616f8072936fd2d87c0cdc4a29MD541992/7705oai:repositorio.uniandes.edu.co:1992/77052024-08-26 15:16:02.338http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.es_CO.fl_str_mv Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
title Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
spellingShingle Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
Ecuaciones de Navier-Stokes - Investigaciones
Espacios de Banach - Investigaciones
Espacios de Sobolev - Investigaciones
Matemáticas
title_short Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
title_full Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
title_fullStr Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
title_full_unstemmed Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
title_sort Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness
dc.creator.fl_str_mv Montero Rosero, Julio Andrés
dc.contributor.advisor.none.fl_str_mv Giniatoulline, Andrei
Robinson, James A.
Healey, Timothy
Cortissoz Iriarte, Jean Carlos
dc.contributor.author.none.fl_str_mv Montero Rosero, Julio Andrés
dc.subject.keyword.es_CO.fl_str_mv Ecuaciones de Navier-Stokes - Investigaciones
Espacios de Banach - Investigaciones
Espacios de Sobolev - Investigaciones
topic Ecuaciones de Navier-Stokes - Investigaciones
Espacios de Banach - Investigaciones
Espacios de Sobolev - Investigaciones
Matemáticas
dc.subject.themes.none.fl_str_mv Matemáticas
description "In this thesis we consider two problems for the Navier-Stokes equations. One problem is blow-up ratcys to solutions of the Navier-Stokes equation if a singularity exists at time T in the homogeneous periodic Sobolev spaces, in particular in the cases s = 3/2 and s = 5/2 where we prove the blow-up rates... "
publishDate 2017
dc.date.issued.none.fl_str_mv 2017
dc.date.accessioned.none.fl_str_mv 2018-09-27T16:36:37Z
dc.date.available.none.fl_str_mv 2018-09-27T16:36:37Z
dc.type.spa.fl_str_mv Trabajo de grado - Doctorado
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dc.identifier.pdf.none.fl_str_mv u729105.pdf
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identifier_str_mv 10.57784/1992/7705
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dc.language.iso.es_CO.fl_str_mv eng
language eng
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http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.es_CO.fl_str_mv 62 hojas
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dc.publisher.es_CO.fl_str_mv Uniandes
dc.publisher.program.es_CO.fl_str_mv Doctorado en Matemáticas
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ciencias
dc.publisher.department.es_CO.fl_str_mv Departamento de Matemáticas
dc.source.es_CO.fl_str_mv instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
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