Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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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 |