Singular Flows with Time-Varying Weights
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.
Authors
- Pierre‐Emmanuel Jabin (ORCID: https://orcid.org/0000-0001-5998-0347)
- Immanuel Ben-Porat
- José A. Carrillo
Institutions
- Pennsylvania State University (US)
- University of Basel (CH)
- University of Oxford (GB)
Publication Details
- Journal
- Archive for Rational Mechanics and Analysis
- Published
- 2026-06-17
- DOI
- https://doi.org/10.1007/s00205-026-02216-1
- Primary Topic
- Stochastic processes and financial applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Universität Basel
- European Commission
- European Research Consortium for Informatics and Mathematics
- Engineering and Physical Sciences Research Council
- Agencia Estatal de Investigación