Exact controllability for the three-dimensional Navier-Stokes equations with the Navier slip boundary conditions

被引：8
|
作者：
Havârneanu, T
Popa, C
Sritharan, SS
机构：
[1] Alexandru Ioan Cuza Univ, Fac Matemat, Iasi 700506, Romania
[2] Univ Wyoming, Dept Math, Laramie, WY 82071 USA
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2005年 / 54卷 / 05期
关键词：
Navier-Stokes equations; controllability; Stokes equations; observability inequality; Carleman estimate;
D O I：
10.1512/iumj.2005.54.2557
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish the local exact internal controllability of steady state solutions for the Navier-Stokes equations in three-dimensional bounded domains, with the Navier slip boundary conditions. The proof is based on a Carleman-type estimate for the backward Stokes equations with the same boundary conditions, which is also established here.
引用
收藏
页码：1303 / 1350
页数：48
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