Feedback stabilization for the 2D Navier-Stokes equations

被引：0

作者：

Fursikov, AV ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119899, Russia

来源：

NAVIER-STOKES EQUATIONS: THEORY AND NUMERICAL METHODS | 2002年 / 223卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For 2D Navier-Stokes equations defined in a bounded domain Omega we study stabilization of solution near a given steady-state flow (v) over cap (x) by means of feedback control defined on a part Gamma of boundary partial derivativeOmega. New mathematical formalization of feedback notion is proposed. In the case of linearized Navier-Stokes equations special construction of a feedback control is proposed such that the control reacts on unpredictable fluctuations of fluid velocity suppressing them. The cases of discrete in time and continuous in time unpredictable fluctuations are regarded.

引用

页码：179 / 196

页数：18

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