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Pré-Publication, Document De Travail Année : 2020

Weak and strong mean-field limits for stochastic Cucker-Smale particle systems

Résumé

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 Lipschitz-continuous, relying on arguments based on the tightness of random measures in Wasserstein spaces, we are able to construct a weak solution of the corresponding limiting SPDE. In a setup where the diffusion coefficient on the environmental noise is bounded, this weak convergence can be turned into a strong L^p(Ω) convergence and the propagation of chaos for the particle system can be established. The systems considered include perturba- tions of the Cucker-Smale model for collective motion.
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Dates et versions

hal-02120106 , version 1 (05-05-2019)
hal-02120106 , version 2 (24-06-2019)
hal-02120106 , version 3 (27-01-2020)
hal-02120106 , version 4 (17-03-2020)
hal-02120106 , version 5 (02-07-2020)

Identifiants

Citer

Angelo Rosello. Weak and strong mean-field limits for stochastic Cucker-Smale particle systems. 2020. ⟨hal-02120106v5⟩
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