On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space

We consider the Cauchy problem for a system of partial differential equations that describes the dynamics of a viscous weakly stratified fluid in three dimensional space. The existence of solutions of the problem follows from an explicit representation of the Fourier transform studied by the author...

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Autores:
Giniatoullin, Andrei I.
Tipo de recurso:
Article of journal
Fecha de publicación:
1997
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43660
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43660
http://bdigital.unal.edu.co/33758/
Palabra clave:
Weak solution
class of uniqueness
partial differential equations
cauchy problema
generalized functions
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43660
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Giniatoullin, Andrei I.1169465c-cd8b-479e-b0c6-3e98c45ad2f13002019-06-28T12:16:20Z2019-06-28T12:16:20Z1997https://repositorio.unal.edu.co/handle/unal/43660http://bdigital.unal.edu.co/33758/We consider the Cauchy problem for a system of partial differential equations that describes the dynamics of a viscous weakly stratified fluid in three dimensional space. The existence of solutions of the problem follows from an explicit representation of the Fourier transform studied by the author in previous works. Here we prove the uniqueness of the weak solution of the problem in the class of growing functions.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33658Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 71-76 0034-7426Giniatoullin, Andrei I. (1997) On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space. Revista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 71-76 0034-7426 .On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional spaceArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTWeak solutionclass of uniquenesspartial differential equationscauchy problemageneralized functionsORIGINAL33658-125190-1-PB.pdfapplication/pdf2157277https://repositorio.unal.edu.co/bitstream/unal/43660/1/33658-125190-1-PB.pdf249840271759bf47be47f7dc7d568819MD51THUMBNAIL33658-125190-1-PB.pdf.jpg33658-125190-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6891https://repositorio.unal.edu.co/bitstream/unal/43660/2/33658-125190-1-PB.pdf.jpgce9616a2f051553aea4d2f26e938875bMD52unal/43660oai:repositorio.unal.edu.co:unal/436602023-02-13 23:04:51.913Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
title On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
spellingShingle On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
Weak solution
class of uniqueness
partial differential equations
cauchy problema
generalized functions
title_short On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
title_full On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
title_fullStr On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
title_full_unstemmed On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
title_sort On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
dc.creator.fl_str_mv Giniatoullin, Andrei I.
dc.contributor.author.spa.fl_str_mv Giniatoullin, Andrei I.
dc.subject.proposal.spa.fl_str_mv Weak solution
class of uniqueness
partial differential equations
cauchy problema
generalized functions
topic Weak solution
class of uniqueness
partial differential equations
cauchy problema
generalized functions
description We consider the Cauchy problem for a system of partial differential equations that describes the dynamics of a viscous weakly stratified fluid in three dimensional space. The existence of solutions of the problem follows from an explicit representation of the Fourier transform studied by the author in previous works. Here we prove the uniqueness of the weak solution of the problem in the class of growing functions.
publishDate 1997
dc.date.issued.spa.fl_str_mv 1997
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:16:20Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:16:20Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43660
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33758/
url https://repositorio.unal.edu.co/handle/unal/43660
http://bdigital.unal.edu.co/33758/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33658
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 71-76 0034-7426
dc.relation.references.spa.fl_str_mv Giniatoullin, Andrei I. (1997) On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space. Revista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 71-76 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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