Mean-field limits: from particle descriptions to macroscopic equations

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 modulate...

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Bibliographic Details
Main Authors: Carrillo de la Plata, JA, Choi, Y-P
Format: Journal article
Language:English
Published: Springer Nature 2021