Well-posedness and regularity theory for abstract integrodifferential equations in interpolation scales and applications

Santana, Marcos Gabriel de

Use este identificador para citar ou linkar para este item: https://ri.ufs.br/jspui/handle/riufs/16245

Registro completo de metadados

Campo DC	Valor	Idioma
dc.contributor.author	Santana, Marcos Gabriel de	-
dc.date.accessioned	2022-09-02T15:24:18Z	-
dc.date.available	2022-09-02T15:24:18Z	-
dc.date.issued	2021-02-26	-
dc.identifier.citation	SANTANA, Marcos Gabriel de. Well-posedness and regularity theory for abstract integrodifferential equations in interpolation scales and applications. 2021. 107 f. Dissertação (Mestrado em Matemática) – Universidade Federal de Sergipe, São Cristóvão, 2021.	pt_BR
dc.identifier.uri	http://ri.ufs.br/jspui/handle/riufs/16245	-
dc.description.sponsorship	Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES	pt_BR
dc.language	eng	pt_BR
dc.subject	Matemática	por
dc.subject	Equações diferenciais não-lineares	por
dc.subject	Equações de Navier-Stokes	por
dc.subject	Integrodifferential equations	eng
dc.subject	Critical nonlinearities	eng
dc.subject	Local well-posedness	eng
dc.subject	Continuation and blow-up alternative	eng
dc.subject	Regularity theory	eng
dc.subject	Navier-Stokes with hereditary viscosity	eng
dc.subject	Reaction-diffusion with memory	eng
dc.title	Well-posedness and regularity theory for abstract integrodifferential equations in interpolation scales and applications	pt_BR
dc.type	Dissertação	pt_BR
dc.contributor.advisor1	Santos, Bruno Luis de Andrade	-
dc.description.resumo	In this work, we study the initial value problem associated with the abstract integrodifferential equation u'(t) = S g(t − s)Au(s)ds + f(t, u(t)), t > 0, with critical or subcritical nonlinearity f in interpolation scales. We prove local-in-time existence, uniqueness, continuation, and blow-up alternative of the E-regular solution that satisfies a specific condition of controlled behavior at t = 0. Then, we apply the theory to the Navier-Stokes problem with hereditary viscosity and initial data in the scale of fractional power spaces associated with the Stokes operator; and to reaction-diffusion problems with super-linear and gradient nonlinearities, and initial data in Lebesgue and Besov spaces, respectively.	pt_BR
dc.publisher.program	Pós-Graduação em Matemática	pt_BR
dc.subject.cnpq	CIENCIAS EXATAS E DA TERRA::MATEMATICA	pt_BR
dc.publisher.initials	Universidade Federal de Sergipe	pt_BR
dc.description.local	São Cristóvão	pt_BR
Aparece nas coleções:	Mestrado em Matemática

Arquivos associados a este item:

Arquivo	Descrição	Tamanho	Formato
MARCOS_GABRIEL_SANTANA.pdf		1,34 MB	Adobe PDF	Visualizar/Abrir

Mostrar registro simples do item Visualizar estatísticas