paper

The Smoluchowski-Kramers approximation for a McKean-Vlasov equation subject to environmental noise with state-dependent friction

arXiv:2403.04815

Abstract

The small mass limit is derived for a McKean-Vlasov equation subject to environmental noise with state-dependent friction. By applying the averaging approach to a non-autonomous stochastic slow-fast system with the microscopic and macroscopic scales, the convergence in distribution is obtained.

arXiv admin note: text overlap with arXiv:2403.04275