Local exact controllability of the Navier-Stokes system

被引：179

作者：

Fernández-Cara, E

Guerrero, S

Imanuvilov, OY

Puel, JP

机构：

[1] Univ Seville, Dept EDAN, E-41080 Seville, Spain

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[3] Univ Versailles, Lab Math Appl, F-78035 Versailles, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 12期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes system; exact controllability; Carleman inequalities;

D O I：

10.1016/j.matpur.2004.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with the local exact controllability of the Navier-Stokes system with distributed controls supported in small sets. In a first step, we present a new Carleman inequality for the linearized Navier-Stokes system, which leads to null controllability at any time T > 0. Then, we deduce a local result concerning the exact controllability to the trajectories of the Navier-Stokes system. (C) 2004 Elsevier SAS. All rights reserved.

引用

页码：1501 / 1542

页数：42

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