Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations

We prove that there exist infinitely many distributional solutions with infinite kinetic energy to both the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $ and Burgers equation in $\mathbb{R} $ with vanishing initial data.

Detalles Bibliográficos
Autor: Scrobogna, S.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/865
Acceso en línea:http://hdl.handle.net/20.500.11824/865
Access Level:acceso abierto
Palabra clave:Navier Stokes, distributional solutions
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spelling Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equationsScrobogna, S.Navier Stokes, distributional solutionsWe prove that there exist infinitely many distributional solutions with infinite kinetic energy to both the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $ and Burgers equation in $\mathbb{R} $ with vanishing initial data.201820182018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/865reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Inglésinfo:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/MINECO//MTM2017-82184-Rinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/8652026-06-19T12:47:47Z
dc.title.none.fl_str_mv Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
title Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
spellingShingle Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
Scrobogna, S.
Navier Stokes, distributional solutions
title_short Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
title_full Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
title_fullStr Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
title_full_unstemmed Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
title_sort Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
dc.creator.none.fl_str_mv Scrobogna, S.
author Scrobogna, S.
author_facet Scrobogna, S.
author_role author
dc.subject.none.fl_str_mv Navier Stokes, distributional solutions
topic Navier Stokes, distributional solutions
description We prove that there exist infinitely many distributional solutions with infinite kinetic energy to both the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $ and Burgers equation in $\mathbb{R} $ with vanishing initial data.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/865
url http://hdl.handle.net/20.500.11824/865
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/MINECO//MTM2017-82184-R
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
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