4 citations · 9 across the 5 of their papers we have counts for
4 papers · 1 filter
Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
Michel Duprez, Manuel González-Burgos, Diego A. Souza
The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced number of controls has been studied in the case of cons…
How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?
Pierre-Alexandre Bliman, Michel Duprez
Given maximal social distancing duration and intensity, how can one minimize the epidemic final size, or equivalently the total number of individuals infected during the outbreak?…
Optimal immunity control by social distancing for the SIR epidemic model
Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat +1
Until a vaccine or therapy is found against the SARS-CoV-2 coronavirus, reaching herd immunity appears to be the only mid-term option. However, if the number of infected individual…
Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localiz…