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

被引：39
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.
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页数：14
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