Journal article
Singular flows with time-varying weights
- Abstract:
- We study the mean eld limit for singular dynamics with time evolving weights. Our results are an extension of the work of Serfaty [12] and Bresch-Jabin-Wang [8], which consider singular Coulomb ows with weights which are constant time. The inclusion of time dependent weights necessitates the commutator estimates of [12, 8], as well as a new functional inequality. The well-posedness of the mean eld PDE and the associated system of trajectories is also proved.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 674.8KB, Terms of use)
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- Publisher copy:
- 10.1007/s00205-026-02216-1
Authors
+ European Union
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- Funder identifier:
- https://ror.org/019w4f821
- Grant:
- 883363
- Programme:
- Horizon 2020 research and innovation programme
+ U.S. National Science Foundation
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- Funder identifier:
- https://ror.org/021nxhr62
- Grant:
- DMS-2508570
- DMS-2219297
- DMS-2205694
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/V051121/1
+ Ministerio de Ciencia, Innovación y Universidades
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- Funder identifier:
- https://ror.org/05r0vyz12
- Grant:
- CEX2020-001105-M
- Publisher:
- Springer
- Journal:
- Archive for Rational Mechanics and Analysis More from this journal
- Volume:
- 250
- Issue:
- 4
- Article number:
- 59
- Publication date:
- 2026-06-17
- Acceptance date:
- 2026-05-16
- DOI:
- EISSN:
-
1432-0673
- ISSN:
-
0003-9527
- Language:
-
English
- Pubs id:
-
2096187
- Local pid:
-
pubs:2096187
- Deposit date:
-
2026-05-17
- ARK identifier:
Terms of use
- Copyright holder:
- Ben-Porat et al.
- Copyright date:
- 2026
- Rights statement:
- © The Author(s) (2026). Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
- Notes:
- 46 pages
- Licence:
- CC Attribution (CC BY)
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