New Results on the Burgers and the Linear Heat Equations in Unbounded Domains

We consider the Burgers equation and prove a property which seems to have been unobserved until now: there is no limitation on the growth of the nonnegative initial datum u0(x) at infinity when the problem is formulated on unbounded intervals, as, e.g. (0 + ∞), and the solution is unique without pre...

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Detalles Bibliográficos
Autores: Díaz Díaz, Jesús Ildefonso, González, S.
Tipo de recurso: artículo
Fecha de publicación:2005
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51426
Acceso en línea:https://hdl.handle.net/20.500.14352/51426
Access Level:acceso abierto
Palabra clave:517.9
Viscous Burgers equation
linear heat equation
Robin boundary conditions
stationary Burgers equation
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
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spelling New Results on the Burgers and the Linear Heat Equations in Unbounded DomainsDíaz Díaz, Jesús IldefonsoGonzález, S.517.9Viscous Burgers equationlinear heat equationRobin boundary conditionsstationary Burgers equationEcuaciones diferenciales1202.07 Ecuaciones en DiferenciasWe consider the Burgers equation and prove a property which seems to have been unobserved until now: there is no limitation on the growth of the nonnegative initial datum u0(x) at infinity when the problem is formulated on unbounded intervals, as, e.g. (0 + ∞), and the solution is unique without prescribing its behaviour at infinity. We also consider the associate stationary problem. Finally, some applications to the linear heat equation with boundary conditions of Robin type are also given.SpringerUniversidad Complutense de Madrid20052005-01-0120052005-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51426reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/514262026-06-02T12:44:21Z
dc.title.none.fl_str_mv New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
title New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
spellingShingle New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
Díaz Díaz, Jesús Ildefonso
517.9
Viscous Burgers equation
linear heat equation
Robin boundary conditions
stationary Burgers equation
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
title_short New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
title_full New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
title_fullStr New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
title_full_unstemmed New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
title_sort New Results on the Burgers and the Linear Heat Equations in Unbounded Domains
dc.creator.none.fl_str_mv Díaz Díaz, Jesús Ildefonso
González, S.
author Díaz Díaz, Jesús Ildefonso
author_facet Díaz Díaz, Jesús Ildefonso
González, S.
author_role author
author2 González, S.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.9
Viscous Burgers equation
linear heat equation
Robin boundary conditions
stationary Burgers equation
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
topic 517.9
Viscous Burgers equation
linear heat equation
Robin boundary conditions
stationary Burgers equation
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
description We consider the Burgers equation and prove a property which seems to have been unobserved until now: there is no limitation on the growth of the nonnegative initial datum u0(x) at infinity when the problem is formulated on unbounded intervals, as, e.g. (0 + ∞), and the solution is unique without prescribing its behaviour at infinity. We also consider the associate stationary problem. Finally, some applications to the linear heat equation with boundary conditions of Robin type are also given.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01
2005
2005-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/51426
url https://hdl.handle.net/20.500.14352/51426
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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