Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Uniqueness results, control and asymptotic analysis for slightly compressible fluids

Caroline Fabre
Mathematical Methods in the Applied Sciences 22 (8) 633 (1999)
DOI: 10.1002/(SICI)1099-1476(19990525)22:8<633::AID-MMA49>3.0.CO;2-Z
See this article

Local internal controllability of the Boussinesq system

Lijuan Wang and Gengsheng Wang
Nonlinear Analysis: Theory, Methods & Applications 53 (5) 637 (2003)
DOI: 10.1016/S0362-546X(02)00173-6
See this article

Jean Leray ’99 Conference Proceedings

J. L. Lions
Jean Leray ’99 Conference Proceedings 543 (2003)
DOI: 10.1007/978-94-017-2008-3_33
See this article

Uniform Controllability of a Stokes Problem with a Transport Term in the Zero-Diffusion Limit

Jon Asier Bárcena-Petisco
SIAM Journal on Control and Optimization 58 (3) 1597 (2020)
DOI: 10.1137/19M1252004
See this article

Boundary Control for Optimal Mixing via Navier--Stokes Flows

Weiwei Hu and Jiahong Wu
SIAM Journal on Control and Optimization 56 (4) 2768 (2018)
DOI: 10.1137/17M1148049
See this article

Geometric Control Theory and Sub-Riemannian Geometry

Andrei A. Agrachev
Springer INdAM Series, Geometric Control Theory and Sub-Riemannian Geometry 5 1 (2014)
DOI: 10.1007/978-3-319-02132-4_1
See this article

Remarks concerning the approximate controllability of the 3D Navier–Stokes and Boussinesq systems

Enrique Fernández-Cara, Ivaldo T. De Sousa and Franciane B. Viera
SeMA Journal 74 (3) 237 (2017)
DOI: 10.1007/s40324-017-0111-7
See this article

Optimization with PDE Constraints

Jean-Pierre Puel
Lecture Notes in Computational Science and Engineering, Optimization with PDE Constraints 101 379 (2014)
DOI: 10.1007/978-3-319-08025-3_12
See this article

Local boundary controllability to trajectories for the 1d compressible Navier Stokes equations

Sylvain Ervedoza and Marc Savel
ESAIM: Control, Optimisation and Calculus of Variations 24 (1) 211 (2018)
DOI: 10.1051/cocv/2017008
See this article

Feedback Boundary Stabilization to Trajectories for 3D Navier–Stokes Equations

Sérgio S. Rodrigues
Applied Mathematics & Optimization (2018)
DOI: 10.1007/s00245-017-9474-5
See this article

Local Exact Boundary Controllability for the Compressible Navier--Stokes Equations

Nicolás Molina
SIAM Journal on Control and Optimization 57 (3) 2152 (2019)
DOI: 10.1137/17M1127648
See this article

Time-dependent flow across a step: the slip with friction boundary condition

Volker John and Anastasios Liakos
International Journal for Numerical Methods in Fluids 50 (6) 713 (2006)
DOI: 10.1002/fld.1074
See this article

Suppression of vortex shedding for flow around a circular cylinder using optimal control

C. Homescu, I. M. Navon and Z. Li
International Journal for Numerical Methods in Fluids 38 (1) 43 (2002)
DOI: 10.1002/fld.203
See this article

Contrôlabilité exacte des approximations de Galerkin des équations de Navier-Stokes

Jacques-Louis Lions and Enrique Zuazua
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 324 (9) 1015 (1997)
DOI: 10.1016/S0764-4442(97)87878-0
See this article

Local null controllability of the two-dimensional Navier–Stokes system in the torus with a control force having a vanishing component

Jean-Michel Coron and Sergio Guerrero
Journal de Mathématiques Pures et Appliquées 92 (5) 528 (2009)
DOI: 10.1016/j.matpur.2009.05.015
See this article

Remarks on global controllability for the Burgers equation with two control forces

S. Guerrero and O.Yu. Imanuvilov
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 24 (6) 897 (2007)
DOI: 10.1016/j.anihpc.2006.06.010
See this article

Local null controllability of the N-dimensional Navier–Stokes system with nonlinear Navier-slip boundary conditions and N − 1 scalar controls

Sergio Guerrero and Cristhian Montoya
Journal de Mathématiques Pures et Appliquées 113 37 (2018)
DOI: 10.1016/j.matpur.2018.03.004
See this article

Optimal Control of Partial Differential Equations

Andrei V. Fursikov
Optimal Control of Partial Differential Equations 157 (1999)
DOI: 10.1007/978-3-0348-8691-8_13
See this article

STEADY STOKES FLOWS WITH THRESHOLD SLIP BOUNDARY CONDITIONS

C. LE ROUX
Mathematical Models and Methods in Applied Sciences 15 (08) 1141 (2005)
DOI: 10.1142/S0218202505000686
See this article

Some Controllability Results for Linear Viscoelastic Fluids

J.L. Boldrini, A. Doubova, E. Fernández-Cara and M. González-Burgos
SIAM Journal on Control and Optimization 50 (2) 900 (2012)
DOI: 10.1137/100813592
See this article

Boundary layer analysis of the Navier–Stokes equations with generalized Navier boundary conditions

Gung-Min Gie and James P. Kelliher
Journal of Differential Equations 253 (6) 1862 (2012)
DOI: 10.1016/j.jde.2012.06.008
See this article

Some Controllability Results forthe N-Dimensional Navier--Stokes and Boussinesq systems with N-1 scalar controls

Enrique Fernández-Cara, Sergio Guerrero, Oleg Yu. Imanuvilov and Jean-Pierre Puel
SIAM Journal on Control and Optimization 45 (1) 146 (2006)
DOI: 10.1137/04061965X
See this article

Remarks on global approximate controllability for the 2-D Navier–Stokes system with Dirichlet boundary conditions

Sergio Guerrero, Oleg Yurievich Imanuvilov and Jean-Pierre Puel
Comptes Rendus Mathematique 343 (9) 573 (2006)
DOI: 10.1016/j.crma.2006.09.023
See this article

Boundary Controllability of a Stationary Stokes System with Linear Convection Observed on an Interior Curve

A. Osses and J. P. Puel
Journal of Optimization Theory and Applications 99 (1) 201 (1998)
DOI: 10.1023/A:1021760429614
See this article

Tutorial on Feedback Control of Flows, Part I: Stabilization of Fluid Flows in Channels and Pipes

Ole M. Aamo and Thor I. Fossen
Modeling, Identification and Control: A Norwegian Research Bulletin 23 (3) 161 (2002)
DOI: 10.4173/mic.2002.3.1
See this article

Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations

Jean-Michel Coron
ESAIM: Control, Optimisation and Calculus of Variations 8 513 (2002)
DOI: 10.1051/cocv:2002050
See this article

On the Null Asymptotic Stabilization of the Two-Dimensional Incompressible Euler Equations in a Simply Connected Domain

Jean-Michel Coron
SIAM Journal on Control and Optimization 37 (6) 1874 (1999)
DOI: 10.1137/S036301299834140X
See this article

Local Exact Boundary Controllability of the Boussinesq Equation

A. V. Fursikov and O. Yu. Imanuvilov
SIAM Journal on Control and Optimization 36 (2) 391 (1998)
DOI: 10.1137/S0363012996296796
See this article

Аппроксимативная управляемость системы Навье - Стокса в неограниченных областях

Pavel Olegovich Shorygin and Павел Олегович Шорыгин
Математический сборник 194 (11) 141 (2003)
DOI: 10.4213/sm784
See this article

Exact controllability for the magnetohydrodynamic equations

Viorel Barbu, Teodor Havârneanu, Cătălin Popa and S. S. Sritharan
Communications on Pure and Applied Mathematics 56 (6) 732 (2003)
DOI: 10.1002/cpa.10072
See this article

Uniform local null control of the Leray-αmodel

Fágner D. Araruna, Enrique Fernández-Cara and Diego A. Souza
ESAIM: Control, Optimisation and Calculus of Variations 20 (4) 1181 (2014)
DOI: 10.1051/cocv/2014011
See this article

On the convergence of the two-dimensional second grade fluid model to the Navier–Stokes equation

Nadir Arada
Journal of Differential Equations 260 (3) 2557 (2016)
DOI: 10.1016/j.jde.2015.10.019
See this article

Точная управляемость уравнений Навье - Стокса и Буссинеска

Andrei Vladimirovich Fursikov, Андрей Владимирович Фурсиков, Юрий Сергеевич Эмануилов and Yurii Sergeevich Emanuilov
Успехи математических наук 54 (3) 93 (1999)
DOI: 10.4213/rm153
See this article

Local exact controllability of the Navier–Stokes system

E. Fernández-Cara, S. Guerrero, O.Yu. Imanuvilov and J.-P. Puel
Journal de Mathématiques Pures et Appliquées 83 (12) 1501 (2004)
DOI: 10.1016/j.matpur.2004.02.010
See this article

Local Exact Controllability for the One-Dimensional Compressible Navier–Stokes Equation

Sylvain Ervedoza, Olivier Glass, Sergio Guerrero and Jean-Pierre Puel
Archive for Rational Mechanics and Analysis 206 (1) 189 (2012)
DOI: 10.1007/s00205-012-0534-3
See this article

Stability enhancement by boundary control in 2-D channel flow

A. Balogh, Wei-Jiu Liu and M. Krstic
IEEE Transactions on Automatic Control 46 (11) 1696 (2001)
DOI: 10.1109/9.964681
See this article

Global Carleman Inequalities for Parabolic Systems and Applications to Controllability

Enrique Fernández‐Cara and Sergio Guerrero
SIAM Journal on Control and Optimization 45 (4) 1395 (2006)
DOI: 10.1137/S0363012904439696
See this article

Null controllability of the linearized compressible Navier–Stokes equations using moment method

Shirshendu Chowdhury and Debanjana Mitra
Journal of Evolution Equations 15 (2) 331 (2015)
DOI: 10.1007/s00028-014-0263-1
See this article

PREFACE

Karine Beauchard and Emmanuel Trélat
ESAIM: Control, Optimisation and Calculus of Variations 22 (4) 913 (2016)
DOI: 10.1051/cocv/2016057
See this article

A result concerning the global approximate controllability of the Navier–Stokes system in dimension 3

Sergio Guerrero, O.Yu. Imanuvilov and J.-P. Puel
Journal de Mathématiques Pures et Appliquées 98 (6) 689 (2012)
DOI: 10.1016/j.matpur.2012.05.008
See this article

GLOBAL CONTROLLABILITY OF A NONLINEAR KORTEWEG–DE VRIES EQUATION

MARIANNE CHAPOULY
Communications in Contemporary Mathematics 11 (03) 495 (2009)
DOI: 10.1142/S0219199709003454
See this article

Uniform Controllability of Scalar Conservation Laws in the Vanishing Viscosity Limit

Matthieu Léautaud
SIAM Journal on Control and Optimization 50 (3) 1661 (2012)
DOI: 10.1137/100803043
See this article

Controllability of a fluid in a 1-D tank

Jean-Michel Coron
IFAC Proceedings Volumes 36 (19) 11 (2003)
DOI: 10.1016/S1474-6670(17)33295-0
See this article

Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer

Frédéric Marbach
Journal de Mathématiques Pures et Appliquées 102 (2) 364 (2014)
DOI: 10.1016/j.matpur.2013.11.013
See this article

On the controllability of the Vlasov–Poisson system

Olivier Glass
Journal of Differential Equations 195 (2) 332 (2003)
DOI: 10.1016/S0022-0396(03)00066-4
See this article

Mechanics, Dynamics, and Control of a Single-Input Aquatic Vehicle With Variable Coefficient of Lift

Scott D. Kelly and Ramadev B. Hukkeri
IEEE Transactions on Robotics 22 (6) 1254 (2006)
DOI: 10.1109/TRO.2006.882934
See this article

On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well

Jean-Michel Coron
Comptes Rendus Mathematique 342 (2) 103 (2006)
DOI: 10.1016/j.crma.2005.11.004
See this article

Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods

Enrique Zuazua
SIAM Review 47 (2) 197 (2005)
DOI: 10.1137/S0036144503432862
See this article

Recent results on the controllability of linear coupled parabolic problems: A survey

Luz Teresa, Manuel González-Burgos, Assia Benabdallah and Farid Ammar-Khodja
Mathematical Control and Related Fields 1 (3) 267 (2011)
DOI: 10.3934/mcrf.2011.1.267
See this article

Remarks on exact controllability for the Navier-Stokes equations

Oleg Yu. Imanuvilov
ESAIM: Control, Optimisation and Calculus of Variations 6 39 (2001)
DOI: 10.1051/cocv:2001103
See this article

Contrôle et analyse asymptotique d'équations de fluide peu compressible

Caroline Fabre
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 326 (9) 1093 (1998)
DOI: 10.1016/S0764-4442(98)80068-2
See this article

A Noise Control Problem Arising in a Flow Duct

Jocelyne Vétillard and Philippe Destuynder
SIAM Journal on Applied Mathematics 64 (6) 1987 (2004)
DOI: 10.1137/S0036139902418912
See this article

Controllability of a quantum particle in a moving potential well

Karine Beauchard and Jean-Michel Coron
Journal of Functional Analysis 232 (2) 328 (2006)
DOI: 10.1016/j.jfa.2005.03.021
See this article

Feedback stabilization of 2D Navier–Stokes equations with Navier slip boundary conditions

Cătălin Lefter
Nonlinear Analysis: Theory, Methods & Applications 70 (1) 553 (2009)
DOI: 10.1016/j.na.2007.12.026
See this article

Lagrangian Controllability of the 1-Dimensional Korteweg--de Vries Equation

Ludovick Gagnon
SIAM Journal on Control and Optimization 54 (6) 3152 (2016)
DOI: 10.1137/140964783
See this article

Theoretical and Numerical Local Null Controllability of a Ladyzhenskaya–Smagorinsky Model of Turbulence

E. Fernández-Cara, J. Límaco and S. B. de Menezes
Journal of Mathematical Fluid Mechanics 17 (4) 669 (2015)
DOI: 10.1007/s00021-015-0232-7
See this article

Existence of global strong solutions for the Saint-Venant system with large initial data on the irrotational part of the velocity

Boris Haspot
Comptes Rendus Mathematique 350 (5-6) 249 (2012)
DOI: 10.1016/j.crma.2012.03.007
See this article

On the global null controllability of a Navier–Stokes system with Navier slip boundary conditions

Marianne Chapouly
Journal of Differential Equations 247 (7) 2094 (2009)
DOI: 10.1016/j.jde.2009.06.022
See this article

Local null controllability of the three-dimensional Navier–Stokes system with a distributed control having two vanishing components

Jean-Michel Coron and Pierre Lissy
Inventiones mathematicae 198 (3) 833 (2014)
DOI: 10.1007/s00222-014-0512-5
See this article

Solving inverse problems involving the Navier–Stokes equations discretized by a Lagrange–Galerkin method

Gilles Fourestey and Marwan Moubachir
Computer Methods in Applied Mechanics and Engineering 194 (6-8) 877 (2005)
DOI: 10.1016/j.cma.2004.07.006
See this article

Feedback boundary stabilization of the three-dimensional incompressible Navier–Stokes equations

J.-P. Raymond
Journal de Mathématiques Pures et Appliquées 87 (6) 627 (2007)
DOI: 10.1016/j.matpur.2007.04.002
See this article

Boundary Control for Optimal Mixing by Stokes Flows

Weiwei Hu
Applied Mathematics & Optimization 78 (1) 201 (2018)
DOI: 10.1007/s00245-017-9404-6
See this article

Feedback stabilization of Navier–Stokes equations

Viorel Barbu
ESAIM: Control, Optimisation and Calculus of Variations 9 197 (2003)
DOI: 10.1051/cocv:2003009
See this article

An addendum to a J.M. Coron theorem concerning the controllability of the Euler system for 2D incompressible inviscid fluids

Olivier Glass
Journal de Mathématiques Pures et Appliquées 80 (8) 845 (2001)
DOI: 10.1016/S0021-7824(01)01210-7
See this article

A Closed-Form Feedback Controller for Stabilization of the Linearized 2-D Navier–Stokes Poiseuille System

Rafael Vazquez and Miroslav Krstic
IEEE Transactions on Automatic Control 52 (12) 2298 (2007)
DOI: 10.1109/TAC.2007.910686
See this article

Approximate controllability for linearized compressible barotropic Navier–Stokes system in one and two dimensions

Shirshendu Chowdhury
Journal of Mathematical Analysis and Applications 422 (2) 1034 (2015)
DOI: 10.1016/j.jmaa.2014.09.011
See this article

On the controllability of the relativistic Vlasov–Maxwell system

Olivier Glass and Daniel Han-Kwan
Journal de Mathématiques Pures et Appliquées 103 (3) 695 (2015)
DOI: 10.1016/j.matpur.2014.07.007
See this article

Exact boundary controllability of 3-D Euler equation

Olivier Glass
ESAIM: Control, Optimisation and Calculus of Variations 5 1 (2000)
DOI: 10.1051/cocv:2000100
See this article

On the control of viscoelastic Jeffreys fluids

A. Doubova and E. Fernández-Cara
Systems & Control Letters 61 (4) 573 (2012)
DOI: 10.1016/j.sysconle.2012.02.003
See this article

Handbook of Differential Equations: Evolutionary Equations

Enrique Zuazua
Handbook of Differential Equations: Evolutionary Equations 3 527 (2007)
DOI: 10.1016/S1874-5717(07)80010-7
See this article

On the Approximate and Null Controllability of the Navier--Stokes Equations

Enrique Fernández-Cara
SIAM Review 41 (2) 269 (1999)
DOI: 10.1137/S0036144598334588
See this article

Contrôlabilité exacte frontière de l'équation d'Euler des fluides parfaits incompressibles en dimension 3

Olivier Glass
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 325 (9) 987 (1997)
DOI: 10.1016/S0764-4442(97)89091-X
See this article

Motivation, analysis and control of the variable density Navier-Stokes equations

Enrique Fernández-Cara
Discrete and Continuous Dynamical Systems - Series S 5 (6) 1021 (2012)
DOI: 10.3934/dcdss.2012.5.1021
See this article

Exact controllability in projections for three-dimensional Navier–Stokes equations

Armen Shirikyan
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 24 (4) 521 (2007)
DOI: 10.1016/j.anihpc.2006.04.002
See this article

Local exact Lagrangian controllability of the Burgers viscous equation

Thierry Horsin
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 25 (2) 219 (2008)
DOI: 10.1016/j.anihpc.2006.11.009
See this article

Simultaneous local exact controllability of 1D bilinear Schrödinger equations

Morgan Morancey
Annales de l'Institut Henri Poincare (C) Non Linear Analysis 31 (3) 501 (2014)
DOI: 10.1016/j.anihpc.2013.05.001
See this article

Stabilization of the 2D incompressible Euler system in an infinite strip

Hayk Nersisyan
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (4) 737 (2013)
DOI: 10.1016/j.anihpc.2012.12.002
See this article

Local controllability to trajectories for non-homogeneous incompressible Navier–Stokes equations

Mehdi Badra, Sylvain Ervedoza and Sergio Guerrero
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 33 (2) 529 (2016)
DOI: 10.1016/j.anihpc.2014.11.006
See this article

Optimal and Robust Control of Fluid Flows: Some Theoretical and Computational Aspects

T. Tachim Medjo, R. Temam and M. Ziane
Applied Mechanics Reviews 61 (1) 010802 (2008)
DOI: 10.1115/1.2830523
See this article

An Approximating Control Design for Optimal Mixing by Stokes Flows

Weiwei Hu
Applied Mathematics & Optimization 82 (2) 471 (2020)
DOI: 10.1007/s00245-018-9535-4
See this article

The second grade fluid and averaged Euler equations with Navier-slip boundary conditions

Adriana Valentina Busuioc and Tudor S Ratiu
Nonlinearity 16 (3) 1119 (2003)
DOI: 10.1088/0951-7715/16/3/318
See this article

Steady solutions of the Navier–Stokes equations with threshold slip boundary conditions

C. Le Roux and A. Tani
Mathematical Methods in the Applied Sciences 30 (5) 595 (2007)
DOI: 10.1002/mma.802
See this article

Turbulence Modeling and Vortex Dynamics

Oleg Yu. Imanuvilov
Lecture Notes in Physics, Turbulence Modeling and Vortex Dynamics 491 148 (1997)
DOI: 10.1007/BFb0105035
See this article

Applied and Numerical Partial Differential Equations

Enrique Fernández-Cara
Computational Methods in Applied Sciences, Applied and Numerical Partial Differential Equations 15 81 (2010)
DOI: 10.1007/978-90-481-3239-3_7
See this article

Control of Fluid Flow

Andras Balogh and Miroslav Krstic
Lecture Notes in Control and Information Sciences, Control of Fluid Flow 330 157 (2006)
DOI: 10.1007/978-3-540-36085-8_7
See this article

European Congress of Mathematics

Enrique Zuazua
European Congress of Mathematics 276 (1998)
DOI: 10.1007/978-3-0348-8898-1_18
See this article

Fundamental Problematic Issues in Turbulence

A. V. Fursikov
Fundamental Problematic Issues in Turbulence 51 (1999)
DOI: 10.1007/978-3-0348-8689-5_6
See this article

Nonlinear Analysis, Differential Equations and Control

Jean-Michel Coron
Nonlinear Analysis, Differential Equations and Control 307 (1999)
DOI: 10.1007/978-94-011-4560-2_5
See this article

Mathematics of Complexity and Dynamical Systems

Olivier Glass
Mathematics of Complexity and Dynamical Systems 755 (2012)
DOI: 10.1007/978-1-4614-1806-1_46
See this article

Approximate Controllability of Three-Dimensional Navier–Stokes Equations

Armen Shirikyan
Communications in Mathematical Physics 266 (1) 123 (2006)
DOI: 10.1007/s00220-006-0007-3
See this article

Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions

Sergio Guerrero
ESAIM: Control, Optimisation and Calculus of Variations 12 (3) 484 (2006)
DOI: 10.1051/cocv:2006006
See this article

Null controllability of the Burgers system with distributed controls

Enrique Fernández-Cara and Sergio Guerrero
Systems & Control Letters 56 (5) 366 (2007)
DOI: 10.1016/j.sysconle.2006.10.022
See this article

Control of Partial Differential Equations

Olivier Glass
Lecture Notes in Mathematics, Control of Partial Differential Equations 2048 131 (2012)
DOI: 10.1007/978-3-642-27893-8_3
See this article

Control at a distance of the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid

József J. Kolumbán
Journal of Differential Equations 269 (1) 764 (2020)
DOI: 10.1016/j.jde.2019.12.021
See this article

Recent Advances in Pure and Applied Mathematics

Enrique Fernández-Cara
RSME Springer Series, Recent Advances in Pure and Applied Mathematics 4 1 (2020)
DOI: 10.1007/978-3-030-41321-7_1
See this article

External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid

Olivier Glass, József J. Kolumbán and Franck Sueur
Analysis & PDE 13 (3) 651 (2020)
DOI: 10.2140/apde.2020.13.651
See this article

On the “viscous incompressible fluid + rigid body” system with Navier conditions

Gabriela Planas and Franck Sueur
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 31 (1) 55 (2014)
DOI: 10.1016/j.anihpc.2013.01.004
See this article