The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime

We consider an aggregation-diffusion equation modelling particle interaction with non-linear diffusion and non-local attractive interaction using a homogeneous kernel (singular and non-singular) leading to variants of the Keller-Segel model of chemotaxis. We analyse the fair-competition regime in wh...

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Bibliographic Details
Main Authors: Calvez, V, Carrillo, JA, Hoffmann, F
Other Authors: Bonforte, M
Format: Conference item
Language:English
Published: Springer, Cham 2017