Mild solutions to the time fractional Navier-Stokes equations in RN

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

de Carvalho-Neto, Paulo Mendes¹  Planas, Gabriela¹ 

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

关键词: Fractional differential equations;    Navier-Stokes equations;    Mild solution;    Mittag-Leffler functions;    Decay properties;   

DOI  :  10.1016/j.jde.2015.04.008

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free