4 papers
Uniform null-controllability times for the Coron--Guerrero problems are and
Kai Koike, Vincent Laheurte
We study the uniform null-controllability, in the vanishing viscosity limit, of the transport--diffusion equation on with a Dirichlet bou…
On the singularity of the Fisher Information matrix in the sine-skewed family on the d-dimensional torus
Emily Schutte, Sophia Loizidou, Vincent Laheurte
Skewed distributions are fundamental in modelling asymmetric data on the d-dimensional torus. In this context, asymmetry is introduced through the sine-skewing mechanism, which is…
Cost of controllability of the Burgers' equation linearized at a steady shock in the vanishing viscosity limit
Vincent Laheurte
We consider the one-dimensional Burgers' equation linearized at a stationary shock, and investigate its null-controllability cost with a control at the left endpoint. We give an up…
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…