- Productions scientifiques
Université d'Évry Val d'Essonne
Laboratoire de Mathématiques et Modélisation d'Évry (UMR 8071)
I.B.G.B.I 23 Bd. de France, 91037 Évry Cedex
☎ +33 (0) 1 64 85 35 60
I am a PhD student since October 2018 under the supervision of Stéphane Menozzi (Université d'Évry Val d’Essonne - Paris Saclay) and Enrico Priola (Università degli studi di Pavia).
My thesis is dedicated to study phenomena restoring uniqueness for some ill-posed ODEs. The idea is to perturb the dynamics by a noise acting only on some components of the ODE and propagating through the other ones thanks to a weak Hörmander like condition, as in the framework of Kolmogorov degeneracy. The noise we consider is a jump Lévy process (integro-differential framework for the generator of the noise). We are particularly interested in the minimal regularity assumptions on the coefficients leading to the weak well-posedness of the associated SDE. As an application, we apply our method to a Hamiltonian model arising from a mechanical problem involving friction.