Frédéric Marbach
arXiv · Google Scholar · HAL · RG
About me

I am a CNRS junior research scientist in mathematics, working at IRMAR laboratory, in Rennes, France. I am currently interested in control theory (mostly nonlinear systems), fluid mechanics and boundary layers.

Former student at ENS Ulm, I wrote my PhD thesis under the supervision of Jean-Michel Coron on control in fluid mechanics, defended in September 2016. I was then a post-doc student of Anne-Laure Dalibard on the analysis of boundary layer models then of Karine Beauchard, on quadratic obstructions to controllability.


You can contact me by email at

Dear editors, due to my personal conviction for open science and an always increasing number of review demands, I will prioritize reviewing papers for diamond open-access journals starting January 2022.

Peer-reviewed and submitted papers

Beauchard, Le Borgne, Marbach, Growth of structure constants of free Lie algebras relative to Hall bases, preprint, arXiv:2111.14398

Beauchard, Le Borgne, Marbach, On expansions for nonlinear systems, error estimates and convergence issues, preprint, arXiv:2012.15653

Coron, Marbach, Sueur, Zhang, Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force, Annals of PDE, 5, 2019, doi:10.1007/s40818-019-0073-4

Beauchard, Marbach, Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations, J. Mathématiques Pures et Appliquées, 136:22-91, 2020, doi:10.1016/j.matpur.2020.02.001

Dalibard, Dietert, Gérard-Varet, Marbach, High frequency analysis of the unsteady Interactive Boundary Layer model, SIAM J. Mathematical Analysis, 50(4):4203-4245, 2018 doi:10.1137/17M1157477

Beauchard, Marbach, Quadratic obstructions to small-time local controllability for scalar-input systems, J. Differential Equations, 264(5):3704-3774, 2018, doi:10.1016/j.jde.2017.11.028

Coron, Marbach, Sueur, Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions, J. European Mathematical Society, 22(5):1625-1673, 2020, doi:10.4171/JEMS/952

Marbach, An obstruction to small-time local null controllability for a viscous Burgers' equation, Ann. Scient. Éc. Norm. Sup., 51(5):1129-1177, 2018, doi:10.24033/asens.2373

Marbach, Small-time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer, J. Mathématiques Pures et Appliquées, 102(2):364–384, 2014, doi:10.1016/j.matpur.2013.11.013