ON THE FEEDBACK STABILIZATION OF BOUSSINESQ EQUATIONS

被引：2

作者：

Lefter, Adriana-Ioana ^{[1
,2
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

[2] Acad Romana, Iasi Branch, Inst Math Octav Mayer, Bucharest, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2011年 / 57卷 / 02期

关键词：

Navier-Stokes equations; Boussinesq equations; weak solutions; monotone operators; stabilization; NAVIER-STOKES EQUATIONS; MAGNETOHYDRODYNAMIC EQUATIONS; CONTROLLERS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper provides feedback stabilization results, preserving the invariance of a given convex set, for the Boussinesq system, in 2D and 3D. The proofs use an existence theorem for weak solutions.

引用

页码：285 / 310

页数：26

共 12 条

[1]

[Anonymous], 1988, Chicago Lectures in Mathematics

[2]

[Anonymous], 1973, N HOLLAND MATH STUDI

[3]

[Anonymous], 1992, SYSTEMS CONTROL FDN

[4] Internal stabilization of Navier-Stokes equations with finite-dimensional controllers [J].

Barbu, V ;

Triggiani, R .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2004, 53 (05) :1443-1494

[5] Flow invariance preserving feedback controllers for the Navier-Stokes equation [J].

Barbu, V ;

Sritharan, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (01) :281-307

[6]

Barbu V., 1993, Analysis and control of nonlinear infinite dimensional systems

[7]

Lefter AI, 2009, AN STIINT U AL I-MAT, V55, P295

[8] Nonlinear feedback controllers for the Navier-Stokes equations [J].

Lefter, Adriana-Ioana .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) :301-316

[9] FEEDBACK STABILIZATION OF MAGNETOHYDRODYNAMIC EQUATIONS [J].

Lefter, Catalin-George .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (03) :963-983

[10]

Lefter CG, 2009, AN STIINT U AL I-MAT, V55, P21

← 1 2 →