MILD SOLUTIONS TO TIME FRACTIONAL 2D-NAVIER-STOKES EQUATIONS WITH DELAY DRIVEN BY COLORED NOISE

被引：0

作者：

Xu, Jiaohui ^{[1
]}

Caraballo, Tomas ^{[2
,3
]}

Valero, Jose ^{[4
]}

机构：

[1] Northwest Univ, Ctr Nonlinear Studies, Sch Math, Xian 710127, Peoples R China

[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Fac Matemat, c Tarfia s-n, Seville 41012, Spain

[3] Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China

[4] Univ Miguel Hernandez de Elche, Ctr Invest Operat, Avda Univ S-n, Elche 03202, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年

基金：

中国国家自然科学基金;

关键词：

Time fractional 2D-Navier-Stokes equations; mild solutions; finite delay; colored noise; NAVIER-STOKES EQUATIONS;

D O I：

10.3934/dcdss.2024053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to show the local and global existence and uniqueness of mild solutions to time fractional 2D-Navier-Stokes equations with bounded delay driven by colored noise. More precisely, under suitable assumptions, we extend and improve some results of [3] in which they assumed the external force is zero (F = 0). We emphasize that for the global existence and uniqueness of mild solutions, the model with higher regularity on the convective term is investigated since the singular kernel with current defined phase space cannot provide us appropriate estimates.

引用

页数：23

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