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Journal Articles ESAIM: Proceedings and Surveys Year : 2019

Numerical schemes for the aggregation equation with pointy potentials

Abstract

The aggregation equation is a nonlocal and nonlinear conservation law commonly used to describe the collective motion of individuals interacting together. When interacting potentials are pointy, it is now well established that solutions may blow up in finite time but global in time weak measure valued solutions exist. In this paper we focus on the convergence of particle schemes and finite volume schemes towards these weak measure valued solutions of the aggregation equation.
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Dates and versions

hal-01788050 , version 1 (08-05-2018)

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Benoît Fabrèges, Hélène Hivert, Kévin Le Balc’h, Sofiane Martel, François Delarue, et al.. Numerical schemes for the aggregation equation with pointy potentials. ESAIM: Proceedings and Surveys, 2019, ⟨10.1051/proc/201965384⟩. ⟨hal-01788050⟩
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