Journal article
Mean-field limits: from particle descriptions to macroscopic equations
- Abstract:
- We rigorously derive pressureless Euler-type equations with nonlocal dissipative terms in velocity and aggregation equations with nonlocal velocity fields from Newton-type particle descriptions of swarming models with alignment interactions. Crucially, we make use of a discrete version of a modulated kinetic energy together with the bounded Lipschitz distance for measures in order to control terms in its time derivative due to the nonlocal interactions.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
Engineering and Physical Sciences Research Council
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Bibliographic Details
- Publisher:
- Springer Nature Publisher's website
- Journal:
- Archive for Rational Mechanics and Analysis Journal website
- Volume:
- 241
- Issue:
- 3
- Pages:
- 1529-1573
- Place of publication:
- Germany
- Publication date:
- 2021-06-01
- Acceptance date:
- 2021-05-14
- DOI:
- EISSN:
-
1432-0673
- ISSN:
-
0003-9527
- Pmid:
-
34720114
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1123943
- Local pid:
- pubs:1123943
- Deposit date:
- 2022-01-14
Terms of use
- Copyright holder:
- Carrillo and Choi.
- Copyright date:
- 2021
- Rights statement:
- ©2021 The Author(s). 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. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Licence:
- CC Attribution (CC BY)
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