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 first.last@ens-rennes.fr
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, in press, arXiv:1801.01860
Beauchard, Marbach, Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations, J. Mathématiques Pures et Appliquées, in press, arXiv:1712.09790
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, in press, arXiv:1612.08087
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
Coron, Marbach, Sueur, Zhang, On the controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force, JEDP 2018, Obernai, arXiv:1901.01525
Coron, Marbach, Sueur, On the controllability of the Navier-Stokes equation in spite of boundary layers, RIMS Kôkyûroku, 2058:162-180, 2018
Marbach, Obstructions quadratiques à la contrôlabilité, de la dimension finie à la dimension infinie, Séminaire Laurent Schwartz - EDP et applications, 2016-2017, Exp. No. 16, 11 p., doi:10.5802/slsedp.106