Free energy of a chemotactic model with nonlinear diffusion

Abstract The Patlak-Keller-Segel equation is a canonical model of chemotaxis to describe self-organized aggregation of organisms interacting with chemical signals. We investigate a variant of this model, assuming that the organisms exert effective pressure proportional to the number density. From th...

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Bibliographic Details
Main Authors: Seung Ki Baek, Beom Jun Kim
Format: Article
Language:English
Published: Nature Publishing Group 2017-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-017-09369-w