Mathematical theory of incompressible flows: local existence, uniqueness, blow-up and asymptotic behavior of solutions in Sobolev-Gevrey and Lei-Lin spaces

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dc.creatorNatã Firmino Santana Rocha
dc.date.accessioned2019-10-17T00:38:49Z
dc.date.accessioned2025-09-08T22:57:16Z
dc.date.available2019-10-17T00:38:49Z
dc.date.issued2019-04-22
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.identifier.urihttps://hdl.handle.net/1843/30432
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.rightsAcesso Aberto
dc.subjectNavier-Stokes, Equações
dc.subjectSobolev, Espaço de
dc.subject.otherNavier-Stokes equations
dc.subject.otherLocal existence
dc.subject.otherBlow-up criteria
dc.subject.otherDecay rates
dc.subject.otherSobolev- Gevrey spaces
dc.subject.otherLei-Lin spaces
dc.titleMathematical theory of incompressible flows: local existence, uniqueness, blow-up and asymptotic behavior of solutions in Sobolev-Gevrey and Lei-Lin spaces
dc.typeTese de doutorado
local.contributor.advisor-co1Wilberclay Gooçalves Melo
local.contributor.advisor1Ezequil Rodrigues Barbosa
local.contributor.advisor1Latteshttp://lattes.cnpq.br/1550330565257371
local.creator.Latteshttp://lattes.cnpq.br/5317022167560441
local.description.resumoThis research project has as main objective to generalize and improve recently developed methods to establish existence, uniqueness and blow-up criteria of local solutions in time for the Navier-Stokes equations involving Sobolev-Gevrey and Lei-Lin spaces; as well as assuming the existence of a global solution in time for this same system, present decay rates of these solutions in these spaces.
local.publisher.countryBrasil
local.publisher.departmentICEX - INSTITUTO DE CIÊNCIAS EXATAS
local.publisher.initialsUFMG
local.publisher.programPrograma de Pós-Graduação em Matemática

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