Frédéric Marbach

activity

20132026

most citedFast global null controllability for a viscous Burgers' equation despite the presence of a boundary layer

27 citations · 60 across the 21 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.AP2025

Nonlinear Forward-Backward Problems

Anne-Laure Dalibard, Frédéric Marbach, Jean Rax

We prove the existence and uniqueness of strong solutions to the equation $u u_{x} - u_{y y} = f$ in the vicinity of the linear shear flow, subject to perturbations of the source term…

math.AP2025

Small-time local control of a Schrödinger equation: a negative and a positive quadratic result

Karine Beauchard, Frédéric Marbach, Thomas Perrin

We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case wher…