Approximate Controllability of Second-Grade Fluids

被引：2

作者：

Ngo, Van-Sang ^{[1
]}

Raugel, Genevieve ^{[2
]}

机构：

[1] Univ Rouen, UMR 6085 CNRS, Lab Math Raphael Sale, F-76801 St Etienne Du Rouvray, France

[2] Univ Paris Sud, CNRS, Lab Math Orsay, F-91405 Orsay, France

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2021年 / 27卷 / 03期

关键词：

Second grade fluid equations; Approximate controllability; Agrachev-Sarychev method; NAVIER-STOKES EQUATIONS; CLASSICAL-SOLUTIONS; EXISTENCE; UNIQUENESS; MOTION; EULER; MODEL; PROJECTIONS;

D O I：

10.1007/s10883-020-09503-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the controllability of the second-grade fluids, a class of non-Newtonian of differential type, on a two-dimensional torus. Using the method of Agrachev and Sarychev (J. Math Fluid Mech., 7(1):108-52 (2005)), Agrachev and Sarychev (Commun Math Phys., 265(3):673-97 (2006)), and of Shirikyan (Commun Math Phys., 266(1):123-51 (2006)), we prove that the system of second-grade fluids is approximately controllable by a finite-dimensional control force.

引用

页码：531 / 556

页数：26

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