LONGTIME BEHAVIOR FOR 3D NAVIER-STOKES EQUATIONS WITH CONSTANT DELAYS

被引：2

作者：

Bessaih, Hakima ^{[1
]}

Garrido-Atienza, Maria J. ^{[2
]}

机构：

[1] Univ Wyoming, Dept Math & Stat, Laramie, WY 82071 USA

[2] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Campus Reina Mercedes, E-41012 Seville, Spain

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 04期

关键词：

Navier-Stokes equations; constant delay; discrete and continuous dynamical systems; regularity of solutions; global attractors;

D O I：

10.3934/cpaa.2020085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the longtime behavior of delayed 3D Navier-Stokes equations in terms of attractors. The study will strongly rely on the investigation of the linearized Navier-Stokes system, and the relationship between the discrete dynamical flow for the linearized system and the continuous flow associated to the original system. Assuming the viscosity to be sufficiently large, there exists a unique attractor for the delayed 3D Navier-Stokes equations. Moreover, the attractor reduces to a singleton set.

引用

页码：1931 / 1948

页数：18

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