Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime

We first show the existence of a unique global minimizer of the free energy for all masses associated with a nonlinear diffusion version of the classical Keller-Segel model when the diffusion dominates over the attractive force of the chemoattractant. The strategy uses an approximation of the variat...

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Bibliographic Details
Main Authors: Carrillo, JA, Sugiyama, Y
Format: Journal article
Language:English
Published: Indiana University Mathematics Journal 2018