A RESULT CONCERNING CONTROLLABILITY FOR THE NAVIER-STOKES EQUATIONS

被引：2

作者：

FERNANDEZCARA, E

GONZALEZBURGOS, M

机构：

[1] Univ of Sevilla, Sevilla

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1995年 / 33卷 / 04期

关键词：

APPROXIMATE CONTROLLABILITY; NAVIER-STOKES EQUATIONS; NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS;

D O I：

10.1137/S0363012993253819

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes equations. Here, the control variable is the trace of the velocity field on a ''small'' part of the boundary. The main result states that the linear space spanned by final states is dense in the L(2) space of admissible fields. For the proof, one uses a duality argument that is suggested by the linear theory. This reduces the task to an existence/regularity result for a nonlinear problem.

引用

页码：1061 / 1070

页数：10