3 citations · 3 across the 1 of their papers we have counts for
5 papers
On the analyticity of the flow map for the AHT equations
Amina Mecherbet, Franck Sueur
The AHT equation is a non linear and non local vectorial transport equation which was introduced in 2003 by Angenent, Haker and Tannenbaum in optimal transport theory. For this equ…
A new look at the controllability cost of linear evolution systems with a long gaze at localized data
Roberta Bianchini, Vincent Laheurte, Franck Sueur
We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evol…
Differential transmutations
Franck Sueur
Inspired by Gromov's partial differential relations, we introduce a notion of differential transmutation, which allows to transfer some local properties of solutions of a PDE to so…
A few representation formulas for solutions of fractional Laplace equations
Sidy M. Djitte, Franck Sueur
This paper is devoted to the Laplacian operator of fractional order in several dimensions. We first establish a representation formula for the partial derivatives of t…
Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions
Jean-Michel Coron, Frédéric Marbach, Franck Sueur
In this work, we investigate the small-time global exact controllability of the Navier-Stokes equation, both towards the null equilibrium state and towards weak trajectories. We co…