Determination of the 3D Navier-Stokes equations with damping

被引：3

作者：

Shi, Wei ^{[1
]}

Yang, Xinguang ^{[1
]}

Yan, Xingjie ^{[2
]}

机构：

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

[2] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 10期

关键词：

determination; Navier-Stokes equation; damping; GLOBAL ATTRACTORS; WEAK SOLUTIONS;

D O I：

10.3934/era.2022197

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned the determination of trajectories for the three-dimensional NavierStokes equations with nonlinear damping subject to periodic boundary condition. By using the energy estimate of Galerkin approximated equation, the finite number of determining modes and asymptotic determined functionals have been shown via the Grashof numbers for the non-autonomous and autonomous damped Navier-Stokes fluid flow respectively.

引用

页码：3872 / 3886

页数：15

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