Approximate Controllability of Second-Grade Fluids

被引：0
|
作者：
Van-Sang Ngo
Geneviève Raugel
机构：
[1] Université de Rouen,Laboratoire de Mathématiques Raphaël Salem, UMR 6085 CNRS
[2] Université de Paris-Sud,CNRS, Laboratoire de Mathématiques d’Orsay
来源：
Journal of Dynamical and Control Systems | 2021年 / 27卷
关键词：
Second grade fluid equations; Approximate controllability; Agrachev-Sarychev method; 35Q35; 93B05; 93C20;
D O I：
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中图分类号：
学科分类号：
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.
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页码：531 / 556
页数：25
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