3 papers
math.PR2020
Existence of martingale solutions for stochastic flocking models with local alignment
Arnaud Debussche, Angelo Rosello
We establish the existence of martingale solutions to a class of stochastic conservation equations. The underlying models correspond to random perturbations of kinetic models for c…
math.AP2020
Diffusion-approximation for a kinetic spray-like system with random forcing
Arnaud Debussche, Angelo Rosello, Julien Vovelle
We study a kinetic toy model for a spray of particles immersed in an ambient fluid, subject to some additional random forcing given by a mixing, space-dependent Markov process. Usi…
math.PR2019
Weak and strong mean-field limits for stochastic Cucker-Smale particle systems
Angelo Rosello
We consider a particle system with a mean-field-type interaction perturbed by some common and individual noises. When the interacting kernels are sublinear and only locally Lipschi…