CEREMADE
Glass Olivier
Full Professor
Biography
2009- : Professeur à l’Université Paris-Dauphine
2000-2009 : Maître de conférences à l’Université Pierre et Marie Curie (Laboratoire Jacques-Louis Lions), Détachement à mi-temps à l’Ecole Normale Supérieure, Paris (2000-2003 et 2004- 2009),
Publications
Articles
Glass O., Kolumbán J., Sueur F. (2021), Remote trajectory tracking of rigid bodies immersed in a 2D perfect incompressible fluid, Pure and Applied Analysis, vol. 3, n°4, p. 613-652
Glass O., Kolumban J., Sueur F. (2020), External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid, Analysis & PDE, vol. 13, n°3, p. 651-684
Glass O., Lacave C., Munnier A., Sueur F. (2019), Dynamics of rigid bodies in a two dimensional incompressible perfect fluid, Journal of Differential Equations, vol. 267, n°6, p. 3561-3577
Glass O., Han-Kwan D., Moussa A. (2018), The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria, Archive for Rational Mechanics and Analysis, vol. 230, n°2, p. 593-639
Glass O., Munnier A., Sueur F. (2018), Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid, Inventiones Mathematicae, vol. 214, n°1, p. 171-287
Coron J-M., Ervedoza S., Ghoshal S., Glass O., Perrollaz V. (2017), Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV, Journal of Differential Equations, vol. 262, n°1, p. 1-30
Glass O., Horsin T. (2016), Lagrangian controllability at low Reynolds number, ESAIM. Control, Optimisation and Calculus of Variations, vol. 22, n°4, p. 1040 - 1053
Ervedoza S., Glass O., Guerrero S. (2016), Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations, Communications in Partial Differential Equations, vol. 41, n°11, p. 1660-1691
Glass O., Lacave C., Sueur F. (2016), On the motion of a small light body immersed in a two dimension al incompressible perfect fluid with vorticity, Communications in Mathematical Physics, vol. 341, n°3, p. 1015-1065
Glass O., Sueur F. (2015), Uniqueness results for weak solutions of two-dimensional fluid-solid systems, Archive for Rational Mechanics and Analysis, vol. 218, n°2, p. 907-944
Glass O., Han-Kwan D. (2015), On the controllability of the relativistic Vlasov-Maxwell system, Journal de mathématiques pures et appliquées, vol. 103, n°3, p. 695-740
Ancona F., Glass O., Nguyen K. (2015), On compactness estimates for hyperbolic systems of conservation laws, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 32, n°6, p. 1229–1257
Glass O., Sueur F. (2014), Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system., Differential and Integral Equations, vol. 27, n°7-8, p. 625-642
Glass O., Sueur F., Lacave C. (2014), On the motion of a small body immersed in a two dimensional incompressible perfect fluid, Bulletin de la Société mathématique de France, vol. 142, n°3, p. 489-536
Glass O. (2014), On the controllability of the non-isentropic 1-D Euler equation, Journal of Differential Equations, vol. 257, n°3, p. 638-719
Glass O., Rosier L. (2013), On the control of the motion of a boat, Mathematical Models and Methods in Applied Sciences, vol. 23, n°4
Sueur F., Glass O. (2013), Smoothness of the flow map for low-regularity solutions of the Camassa-Holm equations, Discrete and Continuous Dynamical Systems, vol. 33, n°7, p. 2791-2808
Glass O., Horsin T. (2012), Prescribing the Motion of a Set of Particles in a Three-Dimensional Perfect Fluid, SIAM Journal on Control and Optimization, vol. 50, n°5, p. 2726-2742
Sueur F., Glass O. (2012), The movement of a solid in an incompressible perfect fluid as a geodesic flow, Proceedings of the American Mathematical Society, vol. 140, p. 2155-2168
Glass O., Sueur F. (2012), On the motion of a rigid body in a two-dimensional irregular ideal flow, SIAM Journal on Mathematical Analysis, vol. 44, n°5, p. 3101-3126
Nguyen K., Glass O., Ancona F. (2012), Lower compactness estimates for scalar balance laws, Communications on Pure and Applied Mathematics, vol. 65, n°9, p. 1303-1329
Guerrero S., Glass O., Puel J-P., Ervedoza S. (2012), Local Exact Controllability for the One-Dimensional Compressible Navier–Stokes Equation, Archive for Rational Mechanics and Analysis, vol. 206, n°1, p. 189-238
Han-Kwan D., Glass O. (2012), On the controllability of the Vlasov-Poisson system in the presence of external force fields, Journal of Differential Equations, vol. 252, n°10, p. 5453–5491
Sueur F., Glass O., Takahashi T. (2012), Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid, Annales scientifiques de l'Ecole normale supérieure, vol. 45, n°1, p. 1-51
Glass O. (2010), A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit, Journal of Functional Analysis, vol. 258, n°3, p. 852-868
Glass O., Guerrero S. (2010), Controllability of the Korteweg–de Vries equation from the right Dirichlet boundary condition, Systems & Control Letters, vol. 59, n°7, p. 390-395
Glass O., Horsin T. (2010), Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches, Journal de mathématiques pures et appliquées, vol. 93, n°1, p. 61-90
Wang Z., Glass O., Coron J-M. (2009), Exact Boundary Controllability for 1-D Quasilinear Hyperbolic Systems with a Vanishing Characteristic Speed, SIAM Journal on Control and Optimization, vol. 48, n°5, p. 3105-3122
Glass O., Coron J-M., Ervedoza S. (2009), Uniform observability estimates for the 1-D discretized wave equation and the random choice method, Comptes rendus. Mathématique, vol. 347, n°9-10, p. 505-510
Glass O., Guerrero S. (2009), On the controllability of the fifth-order Korteweg–de Vries equation, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 26, n°6, p. 2181-2209
Guerrero S., Glass O. (2009), Uniform controllability of a transport equation in zero di ffusion-dispersion limit, Mathematical Models and Methods in Applied Sciences, vol. 19, n°9, p. 1567-1601
Mucha P., Glass O. (2008), Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains, Applicationes Mathematicae, vol. 35, p. 49-67
Glass O. (2008), Controllability and asymptotic stabilization of the Camassa–Holm equation, Journal of Differential Equations, vol. 245, n°6, p. 1584-1615
Guerrero S., Glass O. (2008), Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit, Asymptotic Analysis, vol. 60, n°1-2, p. 61-100
Glass O. (2008), An extension of Oleinik’s inequality for general 1- D scalar conservation laws, Journal of Hyperbolic Differential Equations, vol. 5, n°1, p. 113-165
Glass O., LeFloch P. (2007), Nonlinear Hyperbolic Systems: Nondegenerate Flux, Inner Speed Variation, and Graph Solutions, Archive for Rational Mechanics and Analysis, vol. 185, n°3, p. 409-480
Glass O. (2007), On the controllability of the 1-D isentropic Euler equation, Journal of the European Mathematical Society, vol. 9, n°3, p. 427-486
Guerrero S., Glass O. (2007), On the Uniform Controllability of the Burgers Equation, SIAM Journal on Control and Optimization, vol. 46, n°4, p. 1211-1238
Glass O. (2005), Asymptotic Stabilizability by Stationary Feedback of the Two-Dimensional Euler Equation: The Multiconnected Case, SIAM Journal on Control and Optimization, vol. 44, n°3, p. 1105-1147
Glass O. (2003), Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 20, n°6, p. 921-946
Glass O. (2003), On the controllability of the Vlasov–Poisson system, Journal of Differential Equations, vol. 195, n°2, p. 332-379
Glass O. (2001), An addendum to a J.M. Coron theorem concerning the controllability of the Euler system for 2D incompressible inviscid fluids, Journal de mathématiques pures et appliquées, vol. 80, n°8, p. 845-877
Glass O. (2000), Exact boundary controllability of 3-D Euler equation, ESAIM. Control, Optimisation and Calculus of Variations, vol. 5, p. 1-44
Ouvrages
Alabau-Boussouira F., Brockett R., Glass O., Le Rousseau J., Zuazua E. (2012), Control of partial differential equations, Berlin Heidelberg: Springer, XIII-344 p.
Chapitres d'ouvrage
Glass O. (2010), A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions, in Rao, Bo-Peng, Some Problems on Nonlinear Hyperbolic Equations and Applications World Scientific, p. 464
Communications avec actes
Glass O. (2012), Some Questions of Control in Fluid Mechanics, in Fatiha Alabau-Boussouira, Roger Brockett, Olivier Glass, Jérôme Le Rousseau, Enrique Zuazua, Control of Partial Differential Equations, Berlin, Springer, 344 p.
Actes d'une conférence
Brockett R., Glass O., Le Rousseau J., Zuazua E., Alabau-Boussouira F. (2012), Control of partial differential equations. Cetraro, Italy 2010, in , Berlin Heidelberg, Springer, 344 p
Prépublications / Cahiers de recherche
Dorsz J., Glass O. (2022), Exact controllability of the vortex system by means of a single vortex, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 28 p.
Glass O., Sueur F. (2019), Dynamics of several rigid bodies in a two-dimensional ideal fluid and convergence to vortex systems, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 75 p.
Glass O., Munnier A. (2014), Dynamics of a point vortex as limits of a shrinking solid in an irrotational fluid, Paris, Université Paris-Dauphine, 83 p.