A. V. Fursikov, O. Yu. Imanuvilov, “Exact controllability of the Navier–Stokes and Boussinesq equations”, Russian Math. Surveys, 54:3 (1999), 565

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Russian Mathematical Surveys, 1999, Volume 54, Issue 3, Pages 565–618
DOI: https://doi.org/10.1070/rm1999v054n03ABEH000153 (Mi rm153)

This article is cited in 132 scientific papers (total in 132 papers)

Exact controllability of the Navier–Stokes and Boussinesq equations

A. V. Fursikov, O. Yu. Imanuvilov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

English version PDF (771 kB) Citations (132) Russian version article

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DOI: https://doi.org/10.1070/rm1999v054n03ABEH000153

Received: 17.11.1998

Bibliographic databases:

Document Type: Article

UDC: 517.977.1

MSC: Primary 35Q35, 93B05; Secondary 93C20, 35B37, 76D05

Language: English

Original paper language: Russian

Citation: A. V. Fursikov, O. Yu. Imanuvilov, “Exact controllability of the Navier–Stokes and Boussinesq equations”, Russian Math. Surveys, 54:3 (1999), 565–618

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/rm153

https://doi.org/10.1070/rm1999v054n03ABEH000153

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This publication is cited in the following 132 articles:

Mohmedmunavvar Mubarak Bapu, Mrinmay Biswas, “Local controllability to the trajectories of the Gray-Scott system”, MCRF, 2025
A. V. Fursikov, Advances in Mathematical Fluid Mechanics, Fluids Under Control, 2024, 1
E. S. Baranovskii, “The Stationary Navier–Stokes–Boussinesq System with a Regularized Dissipation Function”, Math. Notes, 115:5 (2024), 670–682
Emique Fernández-Cara, “Remarks on control and inverse problems for PDEs”, SeMA, 2024
Narjess Ben Abid, Mostafa Bendahmane, Moncef Mahjoub, “Stability of the Ionic Parameters of a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology”, Acta Appl Math, 193:1 (2024)
Yongcun Song, Xiaoming Yuan, Hangrui Yue, “A numerical approach to the optimal control of thermally convective flows”, Journal of Computational Physics, 494 (2023), 112458
F. W. Chaves-Silva, E. Fernández-Cara, K. Le Balc'h, J. L. F. Machado, D. A. Souza, “Global Controllability of the Boussinesq System with Navier-Slip-with-Friction and Robin Boundary Conditions”, SIAM J. Control Optim., 61:2 (2023), 484
Hamza Ammar, Moncef Mahjoub, Nejib Zemzemi, “Global Lipschitz stability of multiple space dependent ionic parameters for the MEA/hiPSC-CM assays”, Inverse Problems, 39:1 (2023), 015010
Rémi Robin, “Small-time global null controllability of generalized Burgers' equations”, ESAIM: COCV, 29 (2023), 26
M. R. Ajith Kumar, Jaan H. Pu, Prashanth R. Hanmaiahgari, Martin F. Lambert, “Insights into CFD Modelling of Water Hammer”, Water, 15:22 (2023), 3988
Evgenii S. Baranovskii, Mikhail A. Artemov, “Optimal Dirichlet Boundary Control for the Corotational Oldroyd Model”, Mathematics, 11:12 (2023), 2719
E. S. Baranovskii, “The optimal start control problem for two-dimensional Boussinesq equations”, Izv. Math., 86:2 (2022), 221–242
Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano, Progress in Nonlinear Differential Equations and Their Applications, 97, Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I, 2022, 251
Coron J.-M., Xiang Sh., “Small-Time Global Stabilization of the Viscous Burgers Equation With Three Scalar Controls”, J. Math. Pures Appl., 151 (2021), 212–256
Nersesyan V., “A Proof of Approximate Controllability of the 3D Navier-Stokes System Via a Linear Test”, SIAM J. Control Optim., 59:4 (2021), 2411–2427
Rodrigues S.S., “Feedback Boundary Stabilization to Trajectories For 3D Navier-Stokes Equations”, Appl. Math. Optim., 84:SUPPL 2, 2 (2021), 1149–1186
Baranovskii E.S., “Optimal Boundary Control of the Boussinesq Approximation For Polymeric Fluids”, J. Optim. Theory Appl., 189:2 (2021), 623–645
Amri A., Bellassoued M., Mahjoub M., Zemzemi N., “Analysis of the Heart-Torso Conductivity Parameters Recovery Inverse Problem in Cardiac Electrophysiology Ecg Modelling”, Appl. Anal., 2021
A. A. Domnich, M. A. Artemov, O. Yu. Shishkina, “On the boundary value problem for a model of nonisothermal flows of a non-Newtonian fluid”, J. Appl. Industr. Math., 14:1 (2020), 37–45
E. S. Baranovskii, “Optimal boundary control of nonlinear-viscous fluid flows”, Sb. Math., 211:4 (2020), 505–520

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References:	157
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