Year: 2026
Type: article
Abstract: We study the mean field limit for singular dynamics with time evolving weights. Our results are an extension of the work of Serfaty [14] and Bresch-Jabin-Wang [8], which consider singular Coulomb flows with weights which are constant time. The inclusion of time dependent weights necessitates the commutator estimates of [8, 14], as well as a new functional inequality. The well-posedness of the mean field PDE and the associated system of trajectories is also proven.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Awards: DMS-EPSRC: Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications, G1175115578, G210041235, G2262748287, G2281333282, G2469010403, G2601397997, G2691952350, G300979063, G34346518, G3480869486, G3681454997, G4042783231, G425668148, G4442677895, G4526231891, G5080475149, G5195188938, G567365627, Many-Particle Systems Beyond the Mean-Field Limit, G6200043914, G6700243956, G7084143925, G7323203615, Charting a New Paradigm for Large Non-Exchangeable Multi-Agent and Many-Particle Systems, G7853015121
OpenAlex ID: W7165015356