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Pré-Publication, Document De Travail Année : 2023

Fluid models for kinetic equations in swarming preserving momentum

Mihaï Bostan
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Anh-Tuan Vu

Résumé

We study kinetic models for swarming. The interaction between individuals is given by self-propelling and friction forces, alignment and noise. We consider that each individual relaxes its velocity toward some average velocity, such that the total momentum does not change. We concentrate on fluid models obtained when the time and space scales become very large. We derive first and second order approximations.
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Dates et versions

hal-04043734 , version 1 (23-03-2023)

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  • HAL Id : hal-04043734 , version 1

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Mihaï Bostan, Anh-Tuan Vu. Fluid models for kinetic equations in swarming preserving momentum. 2023. ⟨hal-04043734⟩
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