Hello
Hi nice visitor.
I am a PhD student in the LMI in Rouen, under the supervision of Nicolas Forcadel and Hasnaa Zidani.
The aim of my thesis is to study Hamilton-Jacobi equations in some metric geodesic spaces with curvature properties.
This topic gathers ODEs outside of vector spaces, control problems, viscosity solutions and uses the tools of differentiation in curved spaces (Alexandrov, Wasserstein...).
By the way, I will be looking for a post-doc, starting in September 2025.
Shall you be interested in the work of other nice people around, you may wish to
visit this ANR project or the website of our student seminar in Rouen.
Click here for my CV (updated 18/11/24).
2024
On the structure of the geometric tangent cone to the Wasserstein space. (submitted)
A. A.
Equivalence between viscosity solutions using semidifferentials and test functions for Hamilton-Jacobi equations in the Wasserstein space (in preparation)
A. A.
A minimality property of the value function in optimal control over the Wasserstein space (submitted)
Cristopher Hermosilla, A. A.
2023
Viscosity solutions of centralized control problems in measure spaces (submitted)
Othmane Jerhaoui, A. A., Hasnaa Zidani
2022
Neural networks for first order HJB equations and application to front propagation with obstacle terms (published)
Olivier Bokanowski, Xavier Warin, A. P.
High order numerical methods for Vlasov-Poisson models of plasma sheaths (submitted)
Valentin Ayot, Mehdi Badsi, Yann Barsamian, Anaïs Crestetto, Nicolas Crouseilles, Michel Mehrenberger, Christian Tayou-Fotso, A. P.