Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays

被引：42

作者：

Wang, Jintao ^{[1
]}

Zhao, Caidi ^{[2
]}

Caraballo, Tomas ^{[3
]}

机构：

[1] Huazhong Univ Sci & Technol, Ctr Math Sci, Wuhan 430074, Hubei, Peoples R China

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

[3] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, Seville 41012, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 91卷

关键词：

Globally modified Navier-Stokes equations; Unbounded variable delays; Invariant measures; Pullback attractors; DISSIPATIVE DYNAMICAL-SYSTEMS; PULLBACK ATTRACTORS; 3-DIMENSIONAL SYSTEM; STATISTICAL SOLUTIONS; ASYMPTOTIC-BEHAVIOR; 2D-NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; V-ATTRACTORS; REGULARITY;

D O I：

10.1016/j.cnsns.2020.105459

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. Firstly, we prove the global well-posedness of the solutions, and give the existence of the pullback attractor for the associated process. Then, we construct a family of invariant Borel probability measures, which is supported by the pullback attractor. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：14

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