arrow
Return

Singular Flows with Time-Varying Weights

delete2026-06-17
delete0
delete
OA
AI
I
Immanuel Ben-Porat *
J
José A. Carrillo
P
Pierre-Emmanuel Jabin
DOI:10.1007/s00205-026-02216-1delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
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.
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Archive for Rational Mechanics and Analysis cover
Archive for Rational Mechanics and Analysis
IF:
2.4
Papers:
156
Citations:
1.2W

Organization

M
mathematical institute
Scholars:
76
Papers: 52
Citations: 0
P
pennsylvania state university
Scholars:
3.2K
Papers: 1.9K
Citations: 0
U
universität basel
Scholars:
19
Papers: 17
Citations: 0
researcher View more organizations