Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

The Keller-Segel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it. In its simplest form it is a conservative drift-diffusion equation for the cell density coupled to an elliptic equation for the chemo-attractant concentration. It...

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Bibliographic Details
Main Authors: Adrien Blanchet, Jean Dolbeault, Benoit Perthame
Format: Article
Language:English
Published: Texas State University 2006-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/44/abstr.html

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