On the approximate and null controllability of the Navier-Stokes equations

被引:8
作者
Fernández-Cara, E [1 ]
机构
[1] Univ Sevilla, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain
关键词
approximate controllability; null controllability; Navier-Stokes equations;
D O I
10.1137/S0036144598334588
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents some known results on the approximate and null controllability of the Navier-Stokes equations. All of them can be viewed as partial answers to a conjecture of J.-L. Lions.
引用
收藏
页码:269 / 277
页数:9
相关论文
共 50 条
[31]   The Stokes and Navier-Stokes equations in an aperture domain [J].
Kubo, Takayuki .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2007, 59 (03) :837-859
[32]   Exact internal controllability for the two-dimensional Navier-Stokes equations with the Navier slip boundary conditions [J].
Havarneanu, Teodor ;
Popa, Catalin ;
Sritharan, S. S. .
SYSTEMS & CONTROL LETTERS, 2006, 55 (12) :1022-1028
[33]   A REMARK ON QUASI-STATIONARY APPROXIMATE INERTIAL MANIFOLDS FOR THE NAVIER-STOKES EQUATIONS [J].
JONES, DA ;
TITI, ES .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (03) :894-914
[35]   Global Controllability of the Navier-Stokes Equations in the Presence of Curved Boundary with No-Slip Conditions [J].
Liao, Jiajiang ;
Sueur, Franck ;
Zhang, Ping .
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 24 (03)
[36]   Robust Stackelberg controllability for the Navier–Stokes equations [J].
Cristhian Montoya ;
Luz de Teresa .
Nonlinear Differential Equations and Applications NoDEA, 2018, 25
[37]   On approximate solutions of semilinear evolution equations II. Generalizations, and applications to Navier-Stokes equations [J].
Morosi, Carlo ;
Pizzocchero, Livio .
REVIEWS IN MATHEMATICAL PHYSICS, 2008, 20 (06) :625-706
[38]   A note on integration of the Navier-Stokes equations [J].
Pistiner, Arieh .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) :1823-1826
[39]   ON THE REGULARITY OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS [J].
Pata, Vittorino .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (02) :747-761
[40]   Asymptotic stability for the Navier-Stokes equations [J].
Fan, Jishan ;
Ozawa, Tohru .
JOURNAL OF EVOLUTION EQUATIONS, 2008, 8 (02) :379-389