[HTML][HTML] Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift

F Anceschi, G Ascione, D Castorina… - Journal of Mathematical …, 2025 - Elsevier
Abstract We consider Kolmogorov-Fokker-Planck equations with unbounded drift terms
which are only measurable in time and locally Hölder continuous in space. In particular, we …

[HTML][HTML] Kinetic models for systems of interacting agents with multiple microscopic states

M Bisi, N Loy - Physica D: Nonlinear Phenomena, 2024 - Elsevier
We propose and investigate general kinetic models with transition probabilities that can
describe the simultaneous change of multiple microscopic states of the interacting agents …

Leader-Follower Density Control of Spatial Dynamics in Large-Scale Multi-Agent Systems

GC Maffettone, A Boldini, M Porfiri… - arxiv preprint arxiv …, 2024 - arxiv.org
We address the problem of controlling the density of a large ensemble of follower agents by
acting on group of leader agents that interact with them. We formulate the problem as a …

Mean Field Limit for Stochastic Particle Systems with and Without Common Noise: Analysis of Singular Interactions

P Nikolaev - 2024 - search.proquest.com
In this thesis, we explore mean-field limit theory, focusing on the derivation of non-linear
(stochastic) partial differential equations from large systems of interacting stochastic …

Mean field limit for stochastic particle systems with and without common noise

P Nikolaev - 2024 - madoc.bib.uni-mannheim.de
In this thesis, we explore mean-field limit theory, focusing on the derivation of nonlinear
(stochastic) partial differential equations from large systems of interacting stochastic …