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Number of documents

12

Frédéric Marbach


Je suis chargé de recherche CNRS en mathématiques, affecté à l'IRMAR.

Je m'intéresse à la contrôlabilité, notamment d'EDP issues de la mécanique des fluides, ou de systèmes non linéaires en dimension finie. Je travaille également sur l'analyse mathématique des modèles de couches limites en mécanique des fluides.


Journal articles7 documents

  • Karine Beauchard, Frédéric Marbach. Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations. Journal de Mathématiques Pures et Appliquées, Elsevier, 2020, 136, pp.22-91. ⟨10.1016/j.matpur.2020.02.001⟩. ⟨hal-01767216v2⟩
  • Jean-Michel Coron, Frédéric Marbach, Franck Sueur. Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. Journal of the European Mathematical Society, European Mathematical Society, 2020, 22 (5), pp.1625-1673. ⟨10.4171/JEMS/952⟩. ⟨hal-01422161v2⟩
  • Jean-Michel Coron, Frédéric Marbach, Franck Sueur, Ping Zhang. Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Annals of PDE, Springer, 2019, 5 (17), ⟨10.1007/s40818-019-0073-4⟩. ⟨hal-01676663v3⟩
  • Karine Beauchard, Frédéric Marbach. Quadratic obstructions to small-time local controllability for scalar-input systems. Journal of Differential Equations, Elsevier, 2018, 264 (5), pp.3704-3774. ⟨10.1016/j.jde.2017.11.028⟩. ⟨hal-01526290⟩
  • Anne-Laure Dalibard, Helge Dietert, David Gérard-Varet, Frédéric Marbach. High frequency analysis of the unsteady Interactive Boundary Layer model. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (4), pp.4203-4245. ⟨10.1137/17M1157477⟩. ⟨hal-01615251v2⟩
  • Frédéric Marbach. An obstruction to small time local null controllability for a viscous Burgers' equation. Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2018, 51 (5), pp.1129-1177. ⟨10.24033/asens.2373⟩. ⟨hal-01229493⟩
  • Frédéric Marbach. Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer. Journal de Mathématiques Pures et Appliquées, Elsevier, 2014, 102 (2), pp.364-384. ⟨10.1016/j.matpur.2013.11.013⟩. ⟨hal-00776508⟩

Conference papers3 documents

  • Jean-Michel Coron, Frédéric Marbach, Franck Sueur, Ping Zhang. On the controllability of the Navier-Stokes equation in a rectangle, with a little help of a distributed phantom force. Journées EDP, Jun 2018, Obernai, France. ⟨hal-01970878⟩
  • Frédéric Marbach. Obstructions quadratiques à la contrôlabilité, de la dimension finie à la dimension infinie. Séminaire Laurent Schwartz - EDP et applications, Apr 2017, Saclay, France. ⟨10.5802/slsedp.106⟩. ⟨hal-01550938⟩
  • Jean-Michel Coron, Frédéric Marbach, Franck Sueur. On the controllability of the Navier-Stokes equation in spite of boundary layers. Mathematical Analysis of Viscous Incompressible Fluid, Nov 2016, Kyoto, Japan. pp.162-180. ⟨hal-01492722⟩

Preprints, Working Papers, ...2 documents

  • Karine Beauchard, Jérémy Le Borgne, Frédéric Marbach. Growth of structure constants of free Lie algebras relative to Hall bases. 2021. ⟨hal-03451998⟩
  • Karine Beauchard, Jérémy Le Borgne, Frédéric Marbach. On expansions for nonlinear systems, error estimates and convergence issues. 2021. ⟨hal-03204519⟩