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
收藏
页数：23
相关论文
共 50 条
  • [41] Fractional Stochastic Active Scalar Equations Generalizing the Multi-Dimensional Quasi-Geostrophic & 2D-Navier-Stokes Equations: The General Case
    Debbi, Latifa
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2020, 22 (04)
  • [42] Holder continuity of mild solutions of space-time fractional stochastic heat equation driven by colored noise
    Tran Thanh Binh
    Nguyen Huy Tuan
    Tran Bao Ngoc
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (09):
  • [43] Global solutions of stochastic 2D Navier-Stokes equations with Levy noise
    Dong Zhao
    Xie YinChao
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (07): : 1497 - 1524
  • [44] Random dynamics and limiting behaviors for 3D globally modified Navier-Stokes equations driven by colored noise
    Caraballo, Tomas
    Chen, Zhang
    Yang, Dandan
    STUDIES IN APPLIED MATHEMATICS, 2023, 151 (01) : 247 - 284
  • [45] Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
    Garcia-Luengo, Julia
    Marin-Rubio, Pedro
    Real, Jose
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (08) : 4333 - 4356
  • [46] Asymptotic behaviour and attractors of 2D-Navier-Stokes models with delays
    Caraballo, T
    Real, J
    EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, : 827 - 832
  • [47] Well-Posedness of Mild Solutions for the Fractional Navier-Stokes Equations in Besov Spaces
    Xi, Xuan-Xuan
    Zhou, Yong
    Hou, Mimi
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)
  • [48] SOME REGULARITY RESULTS FOR A DOUBLE TIME-DELAYED 2D-NAVIER-STOKES MODEL
    Garcia-Luengo, Julia
    Marin-Rubio, Pedro
    Planas, Gabriela
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (08): : 3929 - 3946
  • [49] On the time-fractional Navier-Stokes equations
    Zhou, Yong
    Peng, Li
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (06) : 874 - 891
  • [50] Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains
    Caraballo, T
    Lukaszewicz, G
    Real, J
    COMPTES RENDUS MATHEMATIQUE, 2006, 342 (04) : 263 - 268
12345