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An aggregation equation with a nonlocal flux

Research paper by Rafael Granero-Belinchón, Rafael Orive Illera

Indexed on: 21 Jun '14Published on: 21 Jun '14Published in: Mathematics - Analysis of PDEs



Abstract

In this paper we study an aggregation equation with a general nonlocal flux. We study the local well-posedness and some conditions ensuring global existence. We are also interested in the differences arising when the nonlinearity in the flux changes. Thus, we perform some numerics corresponding to different convexities for the nonlinearity in the equation.