Pullback dynamics of 3D Navier-Stokes equations with nonlinear viscosity

被引：11

作者：

Yang, Xin-Guang ^{[1
]}

Feng, Baowei ^{[2
]}

Wang, Shubin ^{[3
]}

Lu, Yongjin ^{[4
]}

Ma, To Fu ^{[5
]}

机构：

[1] Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Peoples R China

[2] Southwestern Univ Finance & Econ, Coll Econ Math, Chengdu 611130, Sichuan, Peoples R China

[3] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[4] Virginia State Univ, Dept Math & Econ, Petersburg, VA 23806 USA

[5] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP, Brazil

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 48卷

基金：

美国国家科学基金会; 巴西圣保罗研究基金会;

关键词：

Navier-Stokes equations; Nonlinear viscosity; Pullback attractors; Fractal dimension; Ladyzhenskaya model; UPPER SEMICONTINUITY; ATTRACTORS; DIMENSION; EXISTENCE;

D O I：

10.1016/j.nonrwa.2019.01.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with pullback dynamics of 3D Navier-Stokes equations with variable viscosity and subject to time-dependent external forces. Our main result establishes the existence of finite-dimensional pullback attractors in a general setting involving tempered universes. We also present a sufficient condition on the viscosity coefficients that guarantees the attractors are nontrivial. We end the paper by showing the upper semi-continuity of pullback attractors as the non-autonomous perturbation vanishes. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：337 / 361

页数：25

共 50 条

[1] PULLBACK DYNAMICS OF A 3D MODIFIED NAVIER-STOKES EQUATIONS WITH DOUBLE DELAYS
Zhang, Pan
Huang, Lan
Lu, Rui
Yang, Xin-Guang
[J]. ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (06): : 4137 - 4157
[2] Degenerate Pullback Attractors for the 3D Navier-Stokes Equations
Cheskidov, Alexey
Kavlie, Landon
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 17 (03) : 411 - 421
[3] Pullback dynamics for the 3-D incompressible Navier-Stokes equations with damping and delay
Cui, Xiaona
Shi, Wei
Li, Xuezhi
Yang, Xin-Guang
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (08) : 7031 - 7047
[4] On stochastic modified 3D Navier-Stokes equations with anisotropic viscosity
Bessaih, Hakima
Millet, Annie
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (01) : 915 - 956
[5] Degenerate Pullback Attractors for the 3D Navier–Stokes Equations
Alexey Cheskidov
Landon Kavlie
[J]. Journal of Mathematical Fluid Mechanics, 2015, 17 : 411 - 421
[6] The 3D Navier-Stokes equations seen as a perturbation of the 2D Navier-Stokes equations
Iftimie, D
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (03): : 271 - 274
[7] The 3D Navier-Stokes equations seen as a perturbation of the 2D Navier-Stokes equations
Iftimie, D
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1999, 127 (04): : 473 - 517
[8] Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory
Su, Keqin
Yang, Rong
[J]. ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (02): : 928 - 946
[9] Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations
Gibbon, John D.
Donzis, Diego A.
Gupta, Anupam
Kerr, Robert M.
Pandit, Rahul
Vincenzi, Dario
[J]. NONLINEARITY, 2014, 27 (10) : 2605 - 2625
[10] Topological sensitivity analysis for the 3D nonlinear Navier-Stokes equations
Hassine, Maatoug
Ouni, Marwa
[J]. ASYMPTOTIC ANALYSIS, 2023, 135 (1-2) : 277 - 304

← 1 2 3 4 5 →