CONTROLLABILITY OF 3D INCOMPRESSIBLE EULER EQUATIONS BY A FINITE-DIMENSIONAL EXTERNAL FORCE

被引：16
|
作者：
Nersisyan, Hayk [1 ]
机构：
[1] Univ Cergy Pontoise, CNRS, UMR 8088, Dept Math, F-95302 Cergy Pontoise, France
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2010年 / 16卷 / 03期
关键词：
Controllability; 3D incompressible Euler equations; Agrachev-Sarychev method; NAVIER-STOKES EQUATIONS;
D O I：
10.1051/cocv/2009017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the control system associated with the incompressible 3D Euler system. We show that the velocity field and pressure of the fluid are exactly controllable in projections by the same finite-dimensional control. Moreover, the velocity is approximately controllable. We also prove that 3D Euler system is not exactly controllable by a finite-dimensional external force.
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页码：677 / 694
页数：18
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