Phase transitions and bump solutions of the Keller-Segel model with volume exclusion

We show that the Keller-Segel model in one dimension with Neumann boundary conditions and quadratic cellular diffusion has an intricate phase transition diagram depending on the chemosensitivity strength. Explicit computations allow us to find a myriad of symmetric and asymmetric stationary states w...

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Bibliographic Details
Main Authors: Carrillo, JA, Chen, X, Wang, Q, Wang, Z, Zhang, L
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2020