RANDOM ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC NAVIER-STOKES-VOIGT EQUATIONS IN SOME UNBOUNDED DOMAINS

被引：1

作者：

Wang, Shu ^{[1
]}

Si, Mengmeng ^{[1
]}

Yang, Rong ^{[1
]}

机构：

[1] Beijing Univ Technol, Fac Sci, Beijing, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Stochastic Navier-Stokes-Voigt equations; non-autonomous; random attractors; pullback asymptotic compactness; PULLBACK ATTRACTORS; GLOBAL ATTRACTORS; DYNAMICS;

D O I：

10.3934/cpaa.2023062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. This paper is concerned with the asymptotic behavior for the three dimensional non-autonomous stochastic Navier-Stokes-Voigt equations on unbounded domains. A continuous non-autonomous random dynamical system for the equations is firstly established. We then obtain pullback asymptotic compactness of solutions and prove that the existence of tempered random attractors for the random dynamical system generated by the equations. Furthermore, we obtain that the tempered random attractors are periodic when the deterministic non-autonomous external term is periodic in time.

引用

页码：2169 / 2185

页数：17

共 50 条

[31] Random dynamics for non-autonomous stochastic evolution equations without uniqueness on unbounded narrow domains
Li, Dingshi
Shi, Lin
Wang, Xiaohu
Zhao, Junyilang
STOCHASTIC ANALYSIS AND APPLICATIONS, 2020, 38 (06) : 1019 - 1044
[32] Pullback attractors of 2D Navier-Stokes-Voigt equations with delay on a non-smooth domain
Keqin Su
Mingxia Zhao
Jie Cao
Boundary Value Problems, 2015
[33] Pullback attractors of 2D Navier-Stokes-Voigt equations with delay on a non-smooth domain
Su, Keqin
Zhao, Mingxia
Cao, Jie
BOUNDARY VALUE PROBLEMS, 2015, : 1 - 27
[34] PULLBACK ATTRACTORS FOR NONCLASSICAL DIFFUSION DELAY EQUATIONS ON UNBOUNDED DOMAINS WITH NON-AUTONOMOUS DETERMINISTIC AND STOCHASTIC FORCING TERMS
Zhang, Fang-Hong
Han, Wei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[35] RANDOM ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC WAVE EQUATIONS WITH MULTIPLICATIVE NOISE
Wang, Bixiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (01) : 269 - 300
[36] STABILITY AND STABILIZATION FOR THE THREE-DIMENSIONAL NAVIER-STOKES-VOIGT EQUATIONS WITH UNBOUNDED VARIABLE DELAY
Toi, Vu Manh
EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (04): : 1007 - 1023
[37] Strong solutions for the Navier-Stokes-Voigt equations with non-negative density
de Oliveira, H. B.
Khompysh, Kh.
Shakir, A. G.
JOURNAL OF MATHEMATICAL PHYSICS, 2025, 66 (04)
[38] Stochastic Navier-Stokes Equations in Unbounded Channel Domains
Manna, Utpal
Mohan, Manil T.
Sritharan, Sivaguru S.
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 17 (01) : 47 - 86
[39] Pullback Measure Attractors for Non-autonomous Stochastic 3D Globally Modified Navier-Stokes Equations
Li, Ran
Mi, Shaoyue
Li, Dingshi
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (05)
[40] Pullback attractors for reaction-diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms
Wang, Jingyu
Wang, Yejuan
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (08)

← 1 2 3 4 5 →