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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Nature Publishing Group
2017-08-01
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Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-017-09369-w |