Mild solutions to the time fractional Navier-Stokes equations in R-N

Autor(es)

de Carvalho-Neto, Paulo Mendes ^[1] ; Planas, Gabriela ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 259, n. 7, p. 2948-2980, OCT 5 2015.
• Citações Web of Science: 32

Resumo

This paper addresses the existence and uniqueness of mild solutions to the Navier-Stokes equations with time fractional differential operator of order alpha is an element of (0, 1). Several interesting properties about the solution are also highlighted, like regularity and decay rate in Lebesgue spaces, which will depend on the fractional exponent alpha. Moreover, it is shown that the L-P-exponent range, which the solution belongs to, is different from the range for the solution of the classical problem with alpha = 1. (C) 2015 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 13/00594-8 - Um estudo da dinâmica de fluidos e sua relação com derivadas temporais fracionárias
• Beneficiário: Paulo Mendes de Carvalho Neto
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado