Author
Carrillo De La Plata, J
Choi, Y
Hauray, M
Salem, S
Journal title
Journal of the European Mathematical Society
DOI
10.4171/JEMS/832
Issue
1
Volume
21
Last updated
2022-08-04T21:51:27.723+01:00
Page
121-161
Abstract
We rigorously show the mean-field limit for a large class of swarming individual based models with local sharp sensitivity regions. For instance, these models include nonlocal repulsive-attractive forces locally averaged over sharp vision cones and Cucker–Smale interactions with discontinuous communication weights.We define global-in-time solutions through a differential inclusion system corresponding to the particle descriptions. We estimate the error between the solutions to the differential inclusion system and weak solutions to the expected limiting kinetic equation by employing tools from optimal transport theory. Quantitative bounds on the expansion of the 1-Wasserstein distance along flows based on a weak-strong stability estimate are obtained. We also provide various examples of realistic sensitivity sets satisfying the assumptions of our main results.
Symplectic ID
1098237
Favourite
On
Publication type
Journal Article
Publication date
29 Sep 2019
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