Approximate controllability for equations of fluid mechanics with a few body controls

被引：0
|
作者：
Duy Phan [1 ]
Rodrigues, Sergio S. [1 ]
机构：
[1] Johann Radon Inst Computat & Appl Math RICAM, OAW, A-4040 Linz, Austria
来源：
2015 EUROPEAN CONTROL CONFERENCE (ECC) | 2015年
基金：
奥地利科学基金会;
关键词：
NAVIER-STOKES EQUATIONS; DIMENSIONAL EXTERNAL FORCE; BOUNDARY-CONDITIONS; EULER EQUATIONS; PROJECTIONS; RECTANGLE; FRICTION; SYSTEM;
D O I：
暂无
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 approximate controllability by means of a few controls is proven for 2D Navier-Stokes system in an infinite channel under generalized Navier boundary conditions in the finite direction and the periodicity assumption in the infinite direction. The set of controls is given explicitly, and do not depend on the viscosity of the fluid. The case of 1D Burgers system in a bounded interval under Dirichlet boundary conditions, where the controls are supported in an arbitrary small nonempty open subset, is also discussed.
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页码：2682 / 2687
页数：6
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