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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.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…