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math.PR2024
The Smoluchowski-Kramers approximation for a McKean-Vlasov equation subject to environmental noise with state-dependent friction
Chungang Shi, Yan Lv, Wei Wang
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 st…
math.PR2024
The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force
Chungang Shi, Wei Wang
An approximation is derived for a Langevin equation with distribution-dependent potential and state-dependent, randomly fast oscillation. By some estimates and a diffusion approxim…