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:
- Accepted
- Peer review status:
- Peer reviewed
Actions
Authors
+ European Union
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- Funder identifier:
- https://ror.org/019w4f821
- Grant:
- 883363
- Programme:
- Horizon 2020 research and innovation programme
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/V051121/1
+ U.S. National Science Foundation
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- Funder identifier:
- https://ror.org/021nxhr62
- Grant:
- DMS-2508570
- DMS-2219297
- DMS-2205694
+ 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
- Acceptance date:
- 2026-05-16
- 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 date:
- 2025
- Notes:
- 46 pages
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