Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces

Detalhes bibliográficos
Autor(a) principal: Suleiman, Marta L. [UNESP]
Data de Publicação: 2020
Outros Autores: Precioso, Juliana C. [UNESP], Prokopczyk, Andrea C. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1002/mma.6355
http://hdl.handle.net/11449/196911
Resumo: In this work, we present conditions to obtain a global-in-time existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in Besov-Morrey spaces and gradient potential as a Radon measure. We also study the self-similarity and asymptotic stability of solutions at large times.
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spelling Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spacesasymptotic behaviorBesov-Morrey spaceschemotaxisMorrey spacesnonlinear viscous transport equationsself-similarityIn this work, we present conditions to obtain a global-in-time existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in Besov-Morrey spaces and gradient potential as a Radon measure. We also study the self-similarity and asymptotic stability of solutions at large times.Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilWiley-BlackwellUniversidade Estadual Paulista (Unesp)Suleiman, Marta L. [UNESP]Precioso, Juliana C. [UNESP]Prokopczyk, Andrea C. [UNESP]2020-12-10T20:00:07Z2020-12-10T20:00:07Z2020-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article6103-6116http://dx.doi.org/10.1002/mma.6355Mathematical Methods In The Applied Sciences. Hoboken: Wiley, v. 43, n. 9, p. 6103-6116, 2020.0170-4214http://hdl.handle.net/11449/19691110.1002/mma.6355WOS:000535360700029Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Methods In The Applied Sciencesinfo:eu-repo/semantics/openAccess2021-10-23T10:11:07Zoai:repositorio.unesp.br:11449/196911Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:16:38.505717Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
title Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
spellingShingle Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
Suleiman, Marta L. [UNESP]
asymptotic behavior
Besov-Morrey spaces
chemotaxis
Morrey spaces
nonlinear viscous transport equations
self-similarity
title_short Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
title_full Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
title_fullStr Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
title_full_unstemmed Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
title_sort Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
author Suleiman, Marta L. [UNESP]
author_facet Suleiman, Marta L. [UNESP]
Precioso, Juliana C. [UNESP]
Prokopczyk, Andrea C. [UNESP]
author_role author
author2 Precioso, Juliana C. [UNESP]
Prokopczyk, Andrea C. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Suleiman, Marta L. [UNESP]
Precioso, Juliana C. [UNESP]
Prokopczyk, Andrea C. [UNESP]
dc.subject.por.fl_str_mv asymptotic behavior
Besov-Morrey spaces
chemotaxis
Morrey spaces
nonlinear viscous transport equations
self-similarity
topic asymptotic behavior
Besov-Morrey spaces
chemotaxis
Morrey spaces
nonlinear viscous transport equations
self-similarity
description In this work, we present conditions to obtain a global-in-time existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in Besov-Morrey spaces and gradient potential as a Radon measure. We also study the self-similarity and asymptotic stability of solutions at large times.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T20:00:07Z
2020-12-10T20:00:07Z
2020-06-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1002/mma.6355
Mathematical Methods In The Applied Sciences. Hoboken: Wiley, v. 43, n. 9, p. 6103-6116, 2020.
0170-4214
http://hdl.handle.net/11449/196911
10.1002/mma.6355
WOS:000535360700029
url http://dx.doi.org/10.1002/mma.6355
http://hdl.handle.net/11449/196911
identifier_str_mv Mathematical Methods In The Applied Sciences. Hoboken: Wiley, v. 43, n. 9, p. 6103-6116, 2020.
0170-4214
10.1002/mma.6355
WOS:000535360700029
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematical Methods In The Applied Sciences
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6103-6116
dc.publisher.none.fl_str_mv Wiley-Blackwell
publisher.none.fl_str_mv Wiley-Blackwell
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129045384134656

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