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

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dc.contributor.authorSuleiman, Marta L. [UNESP]
dc.contributor.authorPrecioso, Juliana C. [UNESP]
dc.contributor.authorProkopczyk, Andrea C. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-10T20:00:07Z
dc.date.available2020-12-10T20:00:07Z
dc.date.issued2020-06-01
dc.description.abstractIn 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.en
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.format.extent6103-6116
dc.identifierhttp://dx.doi.org/10.1002/mma.6355
dc.identifier.citationMathematical Methods In The Applied Sciences. Hoboken: Wiley, v. 43, n. 9, p. 6103-6116, 2020.
dc.identifier.doi10.1002/mma.6355
dc.identifier.issn0170-4214
dc.identifier.urihttp://hdl.handle.net/11449/196911
dc.identifier.wosWOS:000535360700029
dc.language.isoeng
dc.publisherWiley-Blackwell
dc.relation.ispartofMathematical Methods In The Applied Sciences
dc.sourceWeb of Science
dc.subjectasymptotic behavior
dc.subjectBesov-Morrey spaces
dc.subjectchemotaxis
dc.subjectMorrey spaces
dc.subjectnonlinear viscous transport equations
dc.subjectself-similarity
dc.titleAggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spacesen
dc.typeArtigo
dcterms.licensehttp://olabout.wiley.com/WileyCDA/Section/id-406071.html
dcterms.rightsHolderWiley-Blackwell
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas