DETERMINATION FOR THE 2D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN LIPSCHITZ DOMAIN

被引：0
|
作者：
Yang, Xin-Guang [1 ]
Hu, Meng [1 ]
Ma, To Fu [2 ]
Yuan, Jinyun [1 ,3 ]
机构：
[1] Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[2] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil
[3] Dongguan Univ Technol, Sch Comp Sci & Technol, Dongguan, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2023年 / 21卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes equations; Lipschitz domain; determining modes; Grashof number; DETERMINING MODES; DIRICHLET PROBLEM; VOLUME ELEMENTS; DIMENSION; DYNAMICS; SYSTEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The number of determining modes is estimated for the 2D Navier-Stokes equations subject to an inhomogeneous boundary condition in Lipschitz domains by using an appropriate set of points in the configuration space to represent the flow by virtue of the Grashof number and the measure of Lipschitz boundary based on a stream function and some delicate estimates. The asymptotic determination via finite functionals for 2D autonomous Navier-Stokes equations in Lipschitz domains has been derived for the trajectories inside global attractor with finite Hausdorff dimension, which leads to this fluid flow reducing to a functional ordinary differential equation.
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页码：2301 / 2328
页数：28
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