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

页码：1303 / 1350

页数：48

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