Stabilization of Navier-Stokes equations by boundary feedback

被引：0

作者：

Ravindran, S. S. ^{[1
]}

机构：

[1] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2007年 / 4卷 / 3-4期

关键词：

Navier-Stokes equation; Riccati equation; stabilization; feedback control; linear quadratic regulator;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the stabilization of steady state solutions to Navier-Stokes equations by boundary feedback control. The feedback control is determined by solving a linear quadratic regulator problem associated with the linearized Navier-Stokes equations. The control is effected through suction and blowing at the boundary. We show that the linear feedback control provides global exponential stabilization of the steady state solutions to the Navier-Stokes equations for arbitrary Reynolds number. This feedback is shown to provide global stability in both L-2 and H-1-norms.

引用

页码：608 / 624

页数：17

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