Publications

PreprintsJournal papersBook Chapters, proceedings, etc.


Preprints

2024

  1. Dynamics of several rigid bodies in a two-dimensional ideal fluid and convergence to vortex systems
    Olivier Glass, and Franck Sueur
    2024


Journal papers

2023

  1. Exact controllability of the vortex system by means of a single vortex
    Justine Dorsz , and Olivier Glass
    SIAM J. Control Optim., 2023

2021

  1. Remote trajectory tracking of rigid bodies immersed in a two-dimensional perfect incompressible fluid
    Olivier GlassJózsef J. Kolumbán, and Franck Sueur
    Pure Appl. Anal., 2021

2020

  1. External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
    Olivier GlassJózsef J. Kolumbán, and Franck Sueur
    Anal. PDE, 2020

2019

  1. Feedback stabilization of stem growth
    Fabio AnconaAlberto BressanOlivier Glass, and Wen Shen
    J. Dynam. Differential Equations, 2019
  2. On Kolmogorov entropy compactness estimates for scalar conservation laws without uniform convexity
    Fabio AnconaOlivier Glass, and Khai T. Nguyen
    SIAM J. Math. Anal., 2019
  3. Dynamics of rigid bodies in a two dimensional incompressible perfect fluid
    J. Differential Equations, 2019

2018

  1. Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid
    Olivier GlassAlexandre Munnier, and Franck Sueur
    Invent. Math., 2018
  2. The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria
    Olivier GlassDaniel Han-Kwan, and Ayman Moussa
    Arch. Ration. Mech. Anal., 2018

2017

  1. Dissipative boundary conditions for 2x2 hyperbolic systems of conservation laws for entropy solutions in BV
    J. Differential Equations, 2017

2016

  1. Lagrangian controllability at low Reynolds number
    Olivier Glass, and Thierry Horsin
    ESAIM Control Optim. Calc. Var., 2016
  2. Local exact controllability for the two- and three-dimensional compressible Navier-Stokes equations
    Sylvain ErvedozaOlivier Glass, and Sergio Guerrero
    Comm. Partial Differential Equations, 2016
  3. On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity
    Olivier GlassChristophe Lacave, and Franck Sueur
    Comm. Math. Phys., 2016

2015

  1. On compactness estimates for hyperbolic systems of conservation laws
    Fabio AnconaOlivier Glass, and Khai T. Nguyen
    Ann. Inst. H. Poincaré C Anal. Non Linéaire, 2015
  2. Uniqueness results for weak solutions of two-dimensional fluid-solid systems
    Olivier Glass, and Franck Sueur
    Arch. Ration. Mech. Anal., 2015
  3. On the controllability of the relativistic Vlasov-Maxwell system
    Olivier Glass, and Daniel Han-Kwan
    J. Math. Pures Appl. (9), 2015

2014

  1. On the motion of a small body immersed in a two-dimensional incompressible perfect fluid
    Olivier GlassChristophe Lacave, and Franck Sueur
    Bull. Soc. Math. France, 2014
  2. On the controllability of the non-isentropic 1-D Euler equation
    Olivier Glass
    J. Differential Equations, 2014
  3. Low regularity solutions for the two-dimensional “rigid body + incompressible Euler” system
    Olivier Glass, and Franck Sueur
    Differential Integral Equations, 2014

2013

  1. On the control of the motion of a boat
    Olivier Glass, and Lionel Rosier
    Math. Models Methods Appl. Sci., 2013
  2. Smoothness of the flow map for low-regularity solutions of the Camassa-Holm equations
    Olivier Glass, and Franck Sueur
    Discrete Contin. Dyn. Syst., 2013

2012

  1. On the motion of a rigid body in a two-dimensional irregular ideal flow
    Olivier Glass, and Franck Sueur
    SIAM J. Math. Anal., 2012
  2. Prescribing the motion of a set of particles in a three-dimensional perfect fluid
    Olivier Glass, and Thierry Horsin
    SIAM J. Control Optim., 2012
  3. Local exact controllability for the one-dimensional compressible Navier-Stokes equation
    Arch. Ration. Mech. Anal., 2012
  4. Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid
    Olivier GlassFranck Sueur, and Takéo Takahashi
    Ann. Sci. Éc. Norm. Supér. (4), 2012
  5. Lower compactness estimates for scalar balance laws
    Fabio AnconaOlivier Glass, and Khai T. Nguyen
    Comm. Pure Appl. Math., 2012
  6. On the controllability of the Vlasov-Poisson system in the presence of external force fields
    Olivier Glass, and Daniel Han-Kwan
    J. Differential Equations, 2012
  7. The movement of a solid in an incompressible perfect fluid as a geodesic flow
    Olivier Glass, and Franck Sueur
    Proc. Amer. Math. Soc., 2012

2010

  1. Controllability of the Korteweg-de Vries equation from the right Dirichlet boundary condition
    Olivier Glass, and Sergio Guerrero
    Systems Control Lett., 2010
  2. Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches
    Olivier Glass, and Thierry Horsin
    J. Math. Pures Appl. (9), 2010
  3. A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit
    Olivier Glass
    J. Funct. Anal., 2010

2009

  1. Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed
    Jean-Michel Coron, Oliver Glass , and Zhiqiang Wang
    SIAM J. Control Optim., 2009
  2. Uniform observability estimates for the 1-D discretized wave equation and the random choice method
    Jean-Michel CoronSylvain Ervedoza, and Olivier Glass
    C. R. Math. Acad. Sci. Paris, 2009
  3. Uniform controllability of a transport equation in zero diffusion-dispersion limit
    Olivier Glass, and Sergio Guerrero
    Math. Models Methods Appl. Sci., 2009
  4. On the controllability of the fifth-order Korteweg-de Vries equation
    Olivier Glass, and Sergio Guerrero
    Ann. Inst. H. Poincaré C Anal. Non Linéaire, 2009

2008

  1. Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit
    Olivier Glass, and Sergio Guerrero
    Asymptot. Anal., 2008
  2. Controllability and asymptotic stabilization of the Camassa-Holm equation
    Olivier Glass
    J. Differential Equations, 2008
  3. Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains
    Olivier Glass, and Piotr Bogusław Mucha
    Appl. Math. (Warsaw), 2008
  4. An extension of Oleinik’s inequality for general 1D scalar conservation laws
    Olivier Glass
    J. Hyperbolic Differ. Equ., 2008

2007

  1. On the uniform controllability of the Burgers equation
    Olivier Glass, and Sergio Guerrero
    SIAM J. Control Optim., 2007
  2. Nonlinear hyperbolic systems: nondegenerate flux, inner speed variation, and graph solutions
    Olivier Glass, and Philippe G. LeFloch
    Arch. Ration. Mech. Anal., 2007
  3. On the controllability of the 1-D isentropic Euler equation
    Olivier Glass
    J. Eur. Math. Soc. (JEMS), 2007

2005

  1. Asymptotic stabilizability by stationary feedback of the two-dimensional Euler equation: the multiconnected case
    Olivier Glass
    SIAM J. Control Optim., 2005

2003

  1. On the controllability of the Vlasov-Poisson system
    Olivier Glass
    J. Differential Equations, 2003
  2. Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force
    Olivier Glass
    Ann. Inst. H. Poincaré C Anal. Non Linéaire, 2003

2001

  1. An addendum to a J. M. Coron theorem concerning the controllability of the Euler system for 2D incompressible inviscid fluids.
    Olivier Glass
    J. Math. Pures Appl. (9), 2001

2000

  1. Exact boundary controllability of 3-D Euler equation
    Olivier Glass
    ESAIM Control Optim. Calc. Var., 2000

1997

  1. Contrôlabilité exacte frontière de l’équation d’Euler des fluides parfaits incompressibles en dimension 3
    Olivier Glass
    C. R. Acad. Sci. Paris Sér. I Math., 1997



Book Chapters, proceedings, etc.

2019

  1. An introduction to controllability problems for entropy solutions of one-dimensional systems of conservation laws
    Olivier Glass
    In One-dimensional hyperbolic conservation laws and their applications , 2019

2013

  1. Estimées d’epsilon-entropie pour les lois de conservation scalaires
    Olivier Glass
    In Séminaire Laurent Schwartz—Équations aux dérivées partielles et applications. Année 2011–2012 , 2013

2012

  1. Some questions of control in fluid mechanics
    Olivier Glass
    In Control of partial differential equations , 2012
    Lectures from the CIME Course held in Cetraro, July 19–23, 2010, Fondazione CIME/CIME Foundation Subseries, Springer Lecture Notes in Mathematics 2048
  2. Infinite dimensional controllability
    Olivier Glass
    In Mathematics of complexity and dynamical systems. Vols. 1–3 , 2012
  3. La méthode du retour en contrôlabilité et ses applications en mécanique des fluides [d’après Coron et al.]
    Olivier Glass
    In Astérisque , 2012
    Séminaire Bourbaki: Vol. 2010/2011. Exposés 1027–1042

2010

  1. A remark on the controllability of a system of conservation laws in the context of entropy solutions
    Olivier Glass
    In Some problems on nonlinear hyperbolic equations and applications , 2010