Edit Profile Coron, Jean-Michel Compute Distance To: Compute Author ID: coron.jean-michel Published as: Coron, J. M.; Coron, J.-M.; Coron, Jean Michel; Coron, Jean-Michel External Links: MGP · Wikidata · GND Documents Indexed: 155 Publications since 1979, including 9 Books Biographic References: 1 Publication all top 5 Co-Authors 46 single-authored 18 Bastin, Georges 10 d’Andréa-Novel, Brigitte 9 Brézis, Haïm 8 Shang, Peipei 6 Bahri, Abbas 5 Beauchard, Karine 5 Guerrero, Sergio 4 Hayat, Amaury 4 Nguyen, Hoai-Minh 4 Olive, Guillaume 4 Trélat, Emmanuel 3 Bethuel, Fabrice 3 Chu, Jixun 3 Ghidaglia, Jean-Michel 3 Glass, Olivier 3 Hélein, Frédéric 3 Hu, Long 3 Li, Tatsien 3 Rosier, Lionel 3 Wang, Zhi-Qiang 2 Berestycki, Henri 2 Diaz Diaz, Jesus Ildefonso 2 Drici, Abdelmalek 2 Ervedoza, Sylvain 2 Gabriel, Pierre 2 Lieb, Elliott H. 2 Lü, Qi 2 Marbach, Frédéric 2 Mingazzini, Tommaso 2 Praly, Laurent 2 Rivas, Ivonne 2 Rouchon, Pierre 2 Sueur, Franck 2 Tamasoiu, Simona Oana 2 Tang, Shuxia 2 Teismann, Holger 2 Vazquez, Rafael 1 Alabau-Boussouira, Fatiha 1 Bandle, Catherine 1 Bao, Gang 1 Benci, Vieri 1 Brighi, Bernard 1 Brillard, Alain 1 Cannarsa, Piermarco 1 Cerpa, Eduardo 1 Chipot, Michel 1 Chitour, Yacine 1 Chyba, Monique 1 Clément, Frédérique 1 Comte, Myriam 1 Crépeau, Emmanuelle 1 de Halleux, Jonathan 1 Demengel, Françoise 1 Diagne, Ababacar 1 dos Santos, Valérie 1 Ekeland, Ivar 1 Fursikov, Andreĭ Vladimirovich 1 Gagnon, Ludovick 1 Garavello, Mauro 1 Ghoshal, Shyam Sundar 1 Grüne, Lars 1 Guilleron, Jean-Philippe 1 Gulliver, Robert D. II 1 Haut, Bertrand 1 Jacquemard, Alain 1 Kawski, Matthias 1 Keimer, Alexander 1 Keraï, El-Yazid 1 Krstić, Miroslav 1 Li, Yachun 1 Lions, Pierre-Louis 1 Lissy, Pierre 1 Mirrahimi, Mazyar 1 Morancey, Morgan 1 Nirenberg, Louis 1 Patterson, Geoff 1 Perrollaz, Vincent 1 Perruquetti, Wilfrid 1 Pflug, Lukas 1 Picot, Gautier 1 Polyakov, Andrey 1 Pomet, Jean-Baptiste 1 Prieur, Christophe 1 Sbordone, Carlo 1 Shafrir, Itai 1 Soyeur, Alain 1 Tournier, Pierre-Henri 1 Valente, Vanda 1 Vergara Caffarelli, Giorgio 1 Wang, Weimin 1 Wang, Zhiqiang 1 Worthmann, Karl 1 Xiang, Shengquan 1 Zhang, Ping all top 5 Serials 16 SIAM Journal on Control and Optimization 8 Comptes Rendus de l’Académie des Sciences. Série I 7 Automatica 6 Journal of Differential Equations 6 Systems & Control Letters 5 IEEE Transactions on Automatic Control 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Functional Analysis 3 Chinese Annals of Mathematics. Series B 3 MCSS. Mathematics of Control, Signals, and Systems 3 SIAM Journal on Mathematical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Series in Contemporary Applied Mathematics CAM 3 Progress in Nonlinear Differential Equations and Their Applications 2 Archive for Rational Mechanics and Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Séminaire Équations aux Dérivées Partielles 2 Journal of the European Mathematical Society (JEMS) 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Networks and Heterogeneous Media 2 Matapli 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Stochastics 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Acta Applicandae Mathematicae 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Systems, Estimation, and Control 1 Russian Journal of Mathematical Physics 1 Computational and Applied Mathematics 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Analysis & PDE 1 Mathematical Control and Related Fields 1 Advances in Nonlinear Analysis 1 Annals of PDE all top 5 Fields 101 Systems theory; control (93-XX) 96 Partial differential equations (35-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Fluid mechanics (76-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 8 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 6 Ordinary differential equations (34-XX) 5 Mechanics of particles and systems (70-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 3,461 times in 2,104 Documents Cited by ▼ Year ▼ On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain. Zbl 0649.35033Bahri, Abbas; Coron, Jean-Michel 330 1988 Harmonic maps with defects. Zbl 0608.58016Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H. 177 1986 The scalar-curvature problem on the standard three-dimensional sphere. Zbl 0722.53032Bahri, Abbas; Coron, Jean-Michel 138 1991 Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024Brézis, Haïm; Coron, Jean-Michel 137 1985 Topologie et cas limite des injections de Sobolev. (Topology and limit case for Sobolev imbeddings). Zbl 0569.35032Coron, Jean-Michel 133 1984 Global asymptotic stabilization for controllable systems without drift. Zbl 0760.93067Coron, Jean-Michel 112 1992 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 99 1980 Multiple solution of H-systems and Rellich’s conjecture. Zbl 0537.49022Brézis, Haïm; Coron, Jean-Michel 98 1984 Control and nonlinearity. Zbl 1140.93002Coron, Jean-Michel 93 2007 A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. Zbl 1366.93481Coron, Jean-Michel; d’Andréa-Novel, Brigitte; Bastin, Georges 83 2007 Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001Bastin, Georges; Coron, Jean-Michel 77 2016 Local exponential \(H^2\) stabilization of a \(2\times 2\) quasilinear hyperbolic system using backstepping. Zbl 1408.35009Coron, Jean-Michel; Vazquez, Rafael; Krstic, Miroslav; Bastin, Georges 76 2013 Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems. Zbl 1172.35008Coron, Jean-Michel; Bastin, Georges; d’Andréa-Novel, Brigitte 68 2008 On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040Coron, Jean-Michel 67 1996 Adding an integrator for the stabilization problem. Zbl 0747.93072Coron, Jean-Michel; Praly, Laurent 66 1991 Large solutions for harmonic maps in two dimensions. Zbl 0532.58006Brézis, Haïm; Coron, Jean-Michel 66 1983 Periodic solutions of a nonlinear wave equation without assumption of monotonicity. Zbl 0489.35061Coron, Jean-Michel 62 1983 Exact boundary controllability of a nonlinear KdV equation with critical lengths. Zbl 1061.93054Coron, Jean-Michel; Crépeau, Emmanuelle 57 2004 Boundary feedback control in networks of open channels. Zbl 1175.93108de Halleux, J.; Prieur, C.; Coron, J.-M.; d’Andréa-Novel, B.; Bastin, G. 57 2003 On the controllability of 2-D incompressible perfect fluids. Zbl 0848.76013Coron, J.-M. 54 1996 Controllability of a quantum particle in a moving potential well. Zbl 1188.93017Beauchard, Karine; Coron, Jean-Michel 52 2006 Relaxed energies for harmonic maps. Zbl 0793.58011Bethuel, F.; Brézis, Haïm; Coron, Jean-Michel 52 1990 Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Zbl 0938.93030Coron, Jean-Michel; Fursikov, Andrei V. 42 1996 Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws. Zbl 1244.93143Diagne, Ababacar; Bastin, Georges; Coron, Jean-Michel 41 2012 Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011Coron, Jean-Michel; Trélat, Emmanuel 40 2004 Explosion en temps fini pour le flot des applications harmoniques. (Finite-time blow up for the heat flow of harmonic mappings). Zbl 0679.58017Coron, Jean-Michel; Ghidaglia, Jean-Michel 40 1989 Stabilization of a rotating body beam without damping. Zbl 0908.93055Coron, Jean-Michel; d’Andréa-Novel, Brigitte 38 1998 Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components. Zbl 1308.35163Coron, Jean-Michel; Lissy, Pierre 35 2014 Singular optimal control: a linear 1D parabolic-hyperbolic example. Zbl 1078.93009Coron, J.-M.; Guerrero, S. 33 2005 A relation between continuous time-varying and discontinuous feedback stabilization. Zbl 0925.93827Coron, Jean-Michel; Rosier, Lionel 33 1994 A necessary condition for feedback stabilization. Zbl 0699.93075Coron, Jean-Michel 33 1990 On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. Zbl 0954.76010Coron, Jean-Michel 31 1999 On the stabilization in finite time of locally controllable systems by means of continuous time-varying feedback law. Zbl 0828.93054Coron, Jean-Michel 31 1995 Minimizing p-harmonic maps into spheres. Zbl 0677.58021Coron, Jean-Michel; Gulliver, Robert 31 1989 Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Zbl 0982.93063d’Andréa-Novel, Brigitte; Coron, Jean-Michel 28 2000 Exact boundary controllability of the Euler equations of incompressible perfect fluids in dimension two. Zbl 0781.76013Coron, Jean-Michel 28 1993 On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval. Zbl 1229.93130Bastin, Georges; Coron, Jean-Michel 27 2011 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 27 2009 Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012Coron, Jean-Michel 26 2002 Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition. Zbl 1369.93480Cerpa, Eduardo; Coron, Jean-Michel 25 2013 Implicit Lyapunov control of finite dimensional Schrödinger equations. Zbl 1110.81063Beauchard, Karine; Coron, Jean Michel; Mirrahimi, Mazyar; Rouchon, Pierre 25 2007 Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the \(C^1\)-norm. Zbl 1316.35179Coron, Jean-Michel; Bastin, Georges 23 2015 Periodic solutions of nonlinear wave equations and Hamiltonian systems. Zbl 0462.35004Brézis, Haïm; Coron, Jean-Michel 22 1981 Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls. Zbl 1172.35042Coron, Jean-Michel; Guerrero, Sergio 21 2009 Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments. Zbl 1283.93211Dos Santos, V.; Bastin, G.; Coron, J.-M.; D’Andréa-Novel, B. 21 2008 Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Zbl 1376.93090Coron, Jean-Michel; Hu, Long; Olive, Guillaume 20 2017 Null controllability of a parabolic system with a cubic coupling term. Zbl 1213.35247Coron, Jean-Michel; Guerrero, Sergio; Rosier, Lionel 20 2010 Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Zbl 1193.93073Beauchard, Karine; Coron, Jean-Michel; Rouchon, Pierre 20 2010 Nonuniqueness for the heat flow of harmonic maps. Zbl 0707.58017Coron, Jean-Michel 20 1990 Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. Zbl 1302.35333Coron, Jean-Michel; Lü, Qi 19 2014 Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed. Zbl 1201.35126Coron, Jean-Michel; Glass, Oliver; Wang, Zhiqiang 18 2009 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 18 2007 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039Coron, Jean-Michel; Trélat, Emmanuel 18 2006 Analysis of a conservation law modeling a highly re-entrant manufacturing system. Zbl 1207.35218Coron, Jean-Michel; Kawski, Matthias; Wang, Zhiqiang 17 2010 Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component. Zbl 1179.35209Coron, Jean-Michel; Guerrero, Sergio 16 2009 Linearized control systems and applications to smooth stabilization. Zbl 0796.93097Coron, Jean-Michel 16 1994 A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds. Zbl 0735.46017Bethuel, F.; Coron, Jean-Michel; Demengel, F.; Helein, F. 16 1991 Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. Zbl 1320.35307Chu, Jixun; Coron, Jean-Michel; Shang, Peipei 15 2015 Controllability for a scalar conservation law with nonlocal velocity. Zbl 1243.35165Coron, Jean-Michel; Wang, Zhiqiang 15 2012 Une théorie des points critiques à l’infini pour l’équation de Yamabe et le problème de Kazdan-Warner. (Critical points at infinity in the Yamabe equation and the Kazdan-Warner problem). Zbl 0585.58005Bahri, Abbas; Coron, Jean-Michel 15 1985 Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach. Zbl 1417.93067Coron, Jean-Michel; Nguyen, Hoai-Minh 14 2017 Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209Coron, Jean-Michel; Lü, Qi 14 2015 Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel 13 2008 Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques. Zbl 0858.93058Coron, Jean-Michel; Keraï, El-Yazid 13 1996 Dissipative boundary conditions for nonlinear 1-D hyperbolic systems: sharp conditions through an approach via time-delay systems. Zbl 1320.35196Coron, Jean-Michel; Nguyen, Hoai-Minh 12 2015 On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well. Zbl 1082.93002Coron, Jean-Michel 12 2006 Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls. Zbl 1356.35128Alabau-Boussouira, Fatiha; Coron, Jean-Michel; Olive, Guillaume 11 2017 Stabilization and controllability of first-order integro-differential hyperbolic equations. Zbl 1346.93070Coron, Jean-Michel; Hu, Long; Olive, Guillaume 11 2016 Stability of linear density-flow hyperbolic systems under PI boundary control. Zbl 1371.93160Bastin, Georges; Coron, Jean-Michel; Tamasoiu, Simona Oana 11 2015 On the stabilization of controllable and observable systems by an output feedback law. Zbl 0830.93064Coron, Jean-Michel 11 1994 Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain 11 1992 The continuity of the rearrangement in \(W^{1,p}({\mathbb{R}})\). Zbl 0574.46021Coron, Jean-Michel 11 1984 Output feedback stabilization for a scalar conservation law with a nonlocal velocity. Zbl 1323.93060Coron, Jean-Michel; Wang, Zhiqiang 10 2013 Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. Zbl 0686.58012Coron, Jean-Michel; Helein, F. 10 1989 Sur une équation elliptique non linéaire avec l’exposant critique de Sobolev. (On a nonlinear elliptic equation involving the critical Sobolev exponent). Zbl 0601.35040Bahri, Abbas; Coron, Jean-Michel 10 1985 Control of three heat equations coupled with two cubic nonlinearities. Zbl 1432.35113Coron, Jean-Michel; Guilleron, Jean-Philippe 9 2017 The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere. Zbl 0597.35022Benci, V.; Coron, Jean-Michel 9 1985 Minimal period for a vibrating string of infinite length. Zbl 0942.35512Coron, Jean-Michel 9 1982 Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV. Zbl 1368.35171Coron, Jean-Michel; Ervedoza, Sylvain; Ghoshal, Shyam Sundar; Glass, Olivier; Perrollaz, Vincent 8 2017 On the stabilization of some nonlinear control systems: Results, tools, and applications. Zbl 0984.93067Coron, Jean-Michel 8 1999 Vers une théorie des points critiques à l’infini. (Towards a theory of critical points at infinity). Zbl 0585.58004Bahri, Abbas; Coron, Jean-Michel 8 1985 On homogeneous finite-time control for linear evolution equation in Hilbert space. Zbl 1423.93160Polyakov, Andrey; Coron, Jean-Michel; Rosier, Lionel 6 2018 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 5 2018 Stabilization of an overhead crane with a variable length flexible cable. Zbl 1119.93043D’Andréa-Novel, B.; Coron, J. M. 5 2002 Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. Zbl 1447.93024Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck 4 2020 Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping 4 2019 A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states. Zbl 1370.93193Bastin, Georges; Coron, Jean-Michel 4 2017 Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws. Zbl 1365.93391Coron, Jean-Michel; Rivas, Ivonne; Xiang, Shengquan 4 2017 Optimization of an amplification protocol for misfolded proteins by using relaxed control. Zbl 1306.49003Coron, Jean-Michel; Gabriel, Pierre; Shang, Peipei 4 2015 Minimal time for the bilinear control of Schrödinger equations. Zbl 1296.93076Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 4 2014 Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094Coron, Jean-Michel 4 2013 Controllability and nonlinearity. Zbl 1146.93007Coron, Jean-Michel 4 2008 Stabilization of controllable systems. Zbl 0858.93059Coron, Jean-Michel 4 1996 Nematics. Mathematical and physical aspects. Proceedings of the NATO advanced research workshop on defects, singularities and patterns in nematic liquid crystals: mathematical and physical aspects, Orsay, France, May 28-June 1, 1990. Zbl 0722.00043Coron, Jean-Michel (ed.); Ghidaglia, Jean-Michel (ed.); Hélein, Frédéric (ed.) 4 1991 Harmonic maps with defects. Zbl 1043.58504Brezis, H.; Coron, J.-M.; Lieb, E. H. 4 1988 Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. Zbl 1418.35259Coron, Jean-Michel; Nguyen, Hoai-Minh 3 2019 Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Zbl 1418.35265Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei 3 2019 Feedback stabilization for a scalar conservation law with PID boundary control. Zbl 1321.93052Coron, Jean Michel; Tamasoiu, Simona Oana 3 2015 On the controllability of nonlinear partial differential equations. Zbl 1226.93025Coron, Jean-Michel 3 2011 Some open problems on the control of nonlinear partial differential equations. Zbl 1200.93018Coron, Jean-Michel 3 2007 Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. Zbl 1447.93024Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck 4 2020 Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping 4 2019 Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. Zbl 1418.35259Coron, Jean-Michel; Nguyen, Hoai-Minh 3 2019 Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Zbl 1418.35265Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei 3 2019 On homogeneous finite-time control for linear evolution equation in Hilbert space. Zbl 1423.93160Polyakov, Andrey; Coron, Jean-Michel; Rosier, Lionel 6 2018 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 5 2018 Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold. Zbl 1420.35327Tang, Shuxia; Chu, Jixun; Shang, Peipei; Coron, Jean-Michel 2 2018 Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries equation. Zbl 1392.35258Chu, Jixun; Coron, Jean-Michel; Shang, Peipei; Tang, Shu-Xia 2 2018 Minimal time for the approximate bilinear control of Schrödinger equations. Zbl 1391.93036Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 2 2018 Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Zbl 1376.93090Coron, Jean-Michel; Hu, Long; Olive, Guillaume 20 2017 Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach. Zbl 1417.93067Coron, Jean-Michel; Nguyen, Hoai-Minh 14 2017 Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls. Zbl 1356.35128Alabau-Boussouira, Fatiha; Coron, Jean-Michel; Olive, Guillaume 11 2017 Control of three heat equations coupled with two cubic nonlinearities. Zbl 1432.35113Coron, Jean-Michel; Guilleron, Jean-Philippe 9 2017 Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV. Zbl 1368.35171Coron, Jean-Michel; Ervedoza, Sylvain; Ghoshal, Shyam Sundar; Glass, Olivier; Perrollaz, Vincent 8 2017 A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states. Zbl 1370.93193Bastin, Georges; Coron, Jean-Michel 4 2017 Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws. Zbl 1365.93391Coron, Jean-Michel; Rivas, Ivonne; Xiang, Shengquan 4 2017 Quadratic approximation and time-varying feedback laws. Zbl 1386.93130Coron, Jean-Michel; Rivas, Ivonne 2 2017 Exponential stability of semi-linear one-dimensional balance laws. Zbl 1414.93159Bastin, Georges; Coron, Jean-Michel 1 2017 Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001Bastin, Georges; Coron, Jean-Michel 77 2016 Stabilization and controllability of first-order integro-differential hyperbolic equations. Zbl 1346.93070Coron, Jean-Michel; Hu, Long; Olive, Guillaume 11 2016 Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the \(C^1\)-norm. Zbl 1316.35179Coron, Jean-Michel; Bastin, Georges 23 2015 Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. Zbl 1320.35307Chu, Jixun; Coron, Jean-Michel; Shang, Peipei 15 2015 Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209Coron, Jean-Michel; Lü, Qi 14 2015 Dissipative boundary conditions for nonlinear 1-D hyperbolic systems: sharp conditions through an approach via time-delay systems. Zbl 1320.35196Coron, Jean-Michel; Nguyen, Hoai-Minh 12 2015 Stability of linear density-flow hyperbolic systems under PI boundary control. Zbl 1371.93160Bastin, Georges; Coron, Jean-Michel; Tamasoiu, Simona Oana 11 2015 Optimization of an amplification protocol for misfolded proteins by using relaxed control. Zbl 1306.49003Coron, Jean-Michel; Gabriel, Pierre; Shang, Peipei 4 2015 Feedback stabilization for a scalar conservation law with PID boundary control. Zbl 1321.93052Coron, Jean Michel; Tamasoiu, Simona Oana 3 2015 Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components. Zbl 1308.35163Coron, Jean-Michel; Lissy, Pierre 35 2014 Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. Zbl 1302.35333Coron, Jean-Michel; Lü, Qi 19 2014 Minimal time for the bilinear control of Schrödinger equations. Zbl 1296.93076Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 4 2014 Local exponential \(H^2\) stabilization of a \(2\times 2\) quasilinear hyperbolic system using backstepping. Zbl 1408.35009Coron, Jean-Michel; Vazquez, Rafael; Krstic, Miroslav; Bastin, Georges 76 2013 Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition. Zbl 1369.93480Cerpa, Eduardo; Coron, Jean-Michel 25 2013 Output feedback stabilization for a scalar conservation law with a nonlocal velocity. Zbl 1323.93060Coron, Jean-Michel; Wang, Zhiqiang 10 2013 Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094Coron, Jean-Michel 4 2013 Global null controllability of the 1-dimensional nonlinear slow diffusion equation. Zbl 1316.35188Coron, Jean-Michel; Díaz, Jesús Ildefonso; Drici, Abdelmalek; Mingazzini, Tommaso 1 2013 Optimal control of cell mass and maturity in a model of follicular ovulation. Zbl 1316.35187Clément, Frédérique; Coron, Jean-Michel; Shang, Peipei 1 2013 Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws. Zbl 1244.93143Diagne, Ababacar; Bastin, Georges; Coron, Jean-Michel 41 2012 Controllability for a scalar conservation law with nonlocal velocity. Zbl 1243.35165Coron, Jean-Michel; Wang, Zhiqiang 15 2012 Control of partial differential equations. Cetraro, Italy 2010. Papers based on the presentations at the CIME course, July 19–23, 2010. Zbl 1239.93001Cannarsa, Piermarco (ed.); Coron, Jean-Michel (ed.) 1 2012 On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval. Zbl 1229.93130Bastin, Georges; Coron, Jean-Michel 27 2011 On the controllability of nonlinear partial differential equations. Zbl 1226.93025Coron, Jean-Michel 3 2011 Null controllability of a parabolic system with a cubic coupling term. Zbl 1213.35247Coron, Jean-Michel; Guerrero, Sergio; Rosier, Lionel 20 2010 Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Zbl 1193.93073Beauchard, Karine; Coron, Jean-Michel; Rouchon, Pierre 20 2010 Analysis of a conservation law modeling a highly re-entrant manufacturing system. Zbl 1207.35218Coron, Jean-Michel; Kawski, Matthias; Wang, Zhiqiang 17 2010 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 27 2009 Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls. Zbl 1172.35042Coron, Jean-Michel; Guerrero, Sergio 21 2009 Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed. Zbl 1201.35126Coron, Jean-Michel; Glass, Oliver; Wang, Zhiqiang 18 2009 Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component. Zbl 1179.35209Coron, Jean-Michel; Guerrero, Sergio 16 2009 Uniform observability estimates for the 1-D discretized wave equation and the random choice method. Zbl 1177.35041Coron, Jean-Michel; Ervedoza, Sylvain; Glass, Olivier 2 2009 Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems. Zbl 1172.35008Coron, Jean-Michel; Bastin, Georges; d’Andréa-Novel, Brigitte 68 2008 Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments. Zbl 1283.93211Dos Santos, V.; Bastin, G.; Coron, J.-M.; D’Andréa-Novel, B. 21 2008 Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel 13 2008 Controllability and nonlinearity. Zbl 1146.93007Coron, Jean-Michel 4 2008 Control and nonlinearity. Zbl 1140.93002Coron, Jean-Michel 93 2007 A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. Zbl 1366.93481Coron, Jean-Michel; d’Andréa-Novel, Brigitte; Bastin, Georges 83 2007 Implicit Lyapunov control of finite dimensional Schrödinger equations. Zbl 1110.81063Beauchard, Karine; Coron, Jean Michel; Mirrahimi, Mazyar; Rouchon, Pierre 25 2007 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 18 2007 Some open problems on the control of nonlinear partial differential equations. Zbl 1200.93018Coron, Jean-Michel 3 2007 Controllability of a quantum particle in a moving potential well. Zbl 1188.93017Beauchard, Karine; Coron, Jean-Michel 52 2006 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039Coron, Jean-Michel; Trélat, Emmanuel 18 2006 On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well. Zbl 1082.93002Coron, Jean-Michel 12 2006 On conditions that prevent steady-state controllability of certain linear partial differential equations. Zbl 1134.93313Chitour, Yacine; Coron, Jean-Michel; Garavello, Mauro 3 2006 Singular optimal control: a linear 1D parabolic-hyperbolic example. Zbl 1078.93009Coron, J.-M.; Guerrero, S. 33 2005 Exact boundary controllability of a nonlinear KdV equation with critical lengths. Zbl 1061.93054Coron, Jean-Michel; Crépeau, Emmanuelle 57 2004 Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011Coron, Jean-Michel; Trélat, Emmanuel 40 2004 Boundary feedback control in networks of open channels. Zbl 1175.93108de Halleux, J.; Prieur, C.; Coron, J.-M.; d’Andréa-Novel, B.; Bastin, G. 57 2003 Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012Coron, Jean-Michel 26 2002 Stabilization of an overhead crane with a variable length flexible cable. Zbl 1119.93043D’Andréa-Novel, B.; Coron, J. M. 5 2002 Return method: Some applications to flow control. Zbl 1019.93025Coron, Jean-Michel 2 2002 Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Zbl 0982.93063d’Andréa-Novel, Brigitte; Coron, Jean-Michel 28 2000 On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. Zbl 0954.76010Coron, Jean-Michel 31 1999 On the stabilization of some nonlinear control systems: Results, tools, and applications. Zbl 0984.93067Coron, Jean-Michel 8 1999 Stabilization of two-dimensional incompressible perfect fluids. Zbl 1086.93511Coron, Jean-Michel 3 1999 Some open problems in control theory. Zbl 0945.93006Coron, Jean-Michel 1 1999 Stabilization of a rotating body beam without damping. Zbl 0908.93055Coron, Jean-Michel; d’Andréa-Novel, Brigitte 38 1998 On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040Coron, Jean-Michel 67 1996 On the controllability of 2-D incompressible perfect fluids. Zbl 0848.76013Coron, J.-M. 54 1996 Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Zbl 0938.93030Coron, Jean-Michel; Fursikov, Andrei V. 42 1996 Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques. Zbl 0858.93058Coron, Jean-Michel; Keraï, El-Yazid 13 1996 Stabilization of controllable systems. Zbl 0858.93059Coron, Jean-Michel 4 1996 On the stabilization in finite time of locally controllable systems by means of continuous time-varying feedback law. Zbl 0828.93054Coron, Jean-Michel 31 1995 A relation between continuous time-varying and discontinuous feedback stabilization. Zbl 0925.93827Coron, Jean-Michel; Rosier, Lionel 33 1994 Linearized control systems and applications to smooth stabilization. Zbl 0796.93097Coron, Jean-Michel 16 1994 On the stabilization of controllable and observable systems by an output feedback law. Zbl 0830.93064Coron, Jean-Michel 11 1994 Relations between nonlinear controllability and stabilizability. Zbl 0813.93014Coron, Jean-Michel 3 1994 Exact boundary controllability of the Euler equations of incompressible perfect fluids in dimension two. Zbl 0781.76013Coron, Jean-Michel 28 1993 Global asymptotic stabilization for controllable systems without drift. Zbl 0760.93067Coron, Jean-Michel 112 1992 Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain 11 1992 The scalar-curvature problem on the standard three-dimensional sphere. Zbl 0722.53032Bahri, Abbas; Coron, Jean-Michel 138 1991 Adding an integrator for the stabilization problem. Zbl 0747.93072Coron, Jean-Michel; Praly, Laurent 66 1991 A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds. Zbl 0735.46017Bethuel, F.; Coron, Jean-Michel; Demengel, F.; Helein, F. 16 1991 Nematics. Mathematical and physical aspects. Proceedings of the NATO advanced research workshop on defects, singularities and patterns in nematic liquid crystals: mathematical and physical aspects, Orsay, France, May 28-June 1, 1990. Zbl 0722.00043Coron, Jean-Michel (ed.); Ghidaglia, Jean-Michel (ed.); Hélein, Frédéric (ed.) 4 1991 Relaxed energies for harmonic maps. Zbl 0793.58011Bethuel, F.; Brézis, Haïm; Coron, Jean-Michel 52 1990 A necessary condition for feedback stabilization. Zbl 0699.93075Coron, Jean-Michel 33 1990 Nonuniqueness for the heat flow of harmonic maps. Zbl 0707.58017Coron, Jean-Michel 20 1990 Variational methods. Proceedings of a conference, Paris/France, June 1988. Zbl 0713.00009Berestycki, Henri (ed.); Coron, Jean-Michel (ed.); Ekeland, Ivar (ed.) 2 1990 On periodic solutions of adaptive systems in the presence of periodic forcing terms. Zbl 0712.93031Pomet, J.-B.; Coron, Jean-Michel; Praly, L. 1 1990 Explosion en temps fini pour le flot des applications harmoniques. (Finite-time blow up for the heat flow of harmonic mappings). Zbl 0679.58017Coron, Jean-Michel; Ghidaglia, Jean-Michel 40 1989 Minimizing p-harmonic maps into spheres. Zbl 0677.58021Coron, Jean-Michel; Gulliver, Robert 31 1989 Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. Zbl 0686.58012Coron, Jean-Michel; Helein, F. 10 1989 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,961 Authors 58 Coron, Jean-Michel 29 Chtioui, Hichem 29 Krstić, Miroslav 27 Prieur, Christophe 22 Beauchard, Karine 22 Ben Ayed, Mohamed 21 Guerrero, Sergio 21 Pistoia, Angela 20 Gugat, Martin 18 Brézis, Haïm 18 Rosier, Lionel 18 Zuazua, Enrique 17 Clapp, Mónica 17 Musso, Monica 17 Ould Ahmedou, Mohameden 17 Yan, Shusen 15 Glass, Olivier 15 Malchiodi, Andrea 15 Musina, Roberta 15 Passaseo, Donato 14 Bahri, Abbas 14 Li, YanYan 14 Peng, Shuangjie 13 Bethuel, Fabrice 13 Cao, Daomin 13 Fernández-Cara, Enrique 13 Hardt, Robert M. 13 Leugering, Günter 13 Lin, Fang Hua 13 Mironescu, Petru 13 Sigalotti, Mario 13 Trélat, Emmanuel 13 Wei, Juncheng 12 Abdelhedi, Wael 12 Bastin, Georges 12 El Mehdi, Khalil O. 12 Ervedoza, Sylvain 12 Giaquinta, Mariano 12 Guo, Yuxia 12 Pacella, Filomena 12 Rivière, Tristan 11 Cerpa, Eduardo 11 Grossi, Massimo 11 Herty, Michael Matthias 11 Karafyllis, Iasson 11 Lissy, Pierre 10 Aamo, Ole Morten 10 Chentouf, Boumediène 10 Hammami, Mokhless 10 Isobe, Takeshi 10 Rey, Olivier 10 Zhang, Bingyu 9 Caldiroli, Paolo 9 Hadiji, Rejeb 9 Hirano, Norimichi 9 Hong, Minchun 9 Lin, Wei 9 Liu, Yungang 9 Molle, Riccardo 9 Schikorra, Armin 9 Shang, Peipei 9 Struwe, Michael 9 Tanaka, Kazunaga 9 Vazquez, Rafael 8 Alves, Claudianor Oliveira 8 Carreño, Nicolás 8 Deutscher, Joachim 8 Keimer, Alexander 8 Millot, Vincent 8 Morancey, Morgan 8 Rouchon, Pierre 8 Tsinias, John 8 Wang, Chunhua 8 Willem, Michel 7 Benci, Vieri 7 Boscain, Ugo 7 Caponigro, Marco 7 Del Pino, Manuel A. 7 Di Meglio, Florent 7 Dubljevic, Stevan S. 7 Gamara, Najoua 7 Hu, Long 7 Ignat, Radu 7 Jammazi, Chaker 7 Jerrard, Robert Leon 7 Jiang, Zhong-Ping 7 Jost, Jürgen 7 Kenig, Carlos Eduardo 7 Micheletti, Anna Maria 7 Modica, Giuseppe 7 Nguyen, Hoai-Minh 7 Pazoto, Ademir Fernando 7 Pisante, Adriano 7 Puel, Jean-Pierre 7 Salvatore, Addolorata 7 Sharaf, Khadijah 7 Teel, Andrew Richard 7 Wang, Changyou 7 Wang, Zhi-Qiang 6 Alabau-Boussouira, Fatiha ...and 1,861 more Authors all top 5 Cited in 256 Serials 123 Automatica 123 Journal of Differential Equations 104 Systems & Control Letters 88 Calculus of Variations and Partial Differential Equations 85 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 83 Annales de l’Institut Henri Poincaré. 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Series S 3 International Journal of Systems Science 3 Letters in Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Journal of Geometry and Physics 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Nachrichten 3 Acta Applicandae Mathematicae ...and 156 more Serials all top 5 Cited in 49 Fields 1,356 Partial differential equations (35-XX) 808 Systems theory; control (93-XX) 372 Global analysis, analysis on manifolds (58-XX) 227 Differential geometry (53-XX) 225 Calculus of variations and optimal control; optimization (49-XX) 144 Fluid mechanics (76-XX) 87 Operator theory (47-XX) 69 Ordinary differential equations (34-XX) 64 Functional analysis (46-XX) 64 Numerical analysis (65-XX) 63 Mechanics of deformable solids (74-XX) 60 Dynamical systems and ergodic theory (37-XX) 57 Quantum theory (81-XX) 52 Mechanics of particles and systems (70-XX) 43 Statistical mechanics, structure of matter (82-XX) 29 Operations research, mathematical programming (90-XX) 22 Real functions (26-XX) 22 Probability theory and stochastic processes (60-XX) 20 Functions of a complex variable (30-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Biology and other natural sciences (92-XX) 12 Algebraic topology (55-XX) 11 Difference and functional equations (39-XX) 11 Integral equations (45-XX) 10 Measure and integration (28-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Manifolds and cell complexes (57-XX) 7 Potential theory (31-XX) 6 Computer science (68-XX) 6 Optics, electromagnetic theory (78-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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