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.

Contact

You can contact me by email at first.last@ens-rennes.fr

Dear editors, due to a large backlog of overdue reviews and to my personal taste for open science, I am currently (summer and fall 2020) priorizing new review demands coming from diamond open-access journals.

Peer-reviewed and submitted papers

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