Journal article icon

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

Actions


Access Document


Files:
Publisher copy:
10.1007/s00205-021-01676-x

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More from this funder
Name:
Engineering and Physical Sciences Research Council
Publisher:
Springer Nature
Journal:
Archive for Rational Mechanics and Analysis More from this journal
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
Language:
English
Keywords:
Pubs id:
1123943
Local pid:
pubs:1123943
Deposit date:
2022-01-14

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP