Optimal critical mass in the two dimensional Keller–Segel model in
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Dolbeault, Jean; Perthame, Benoît

doi:10.1016/j.crma.2004.08.011

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Optimal critical mass in the two dimensional Keller–Segel model in R 2

Shared by NobleBlocks on Oct 14, 2004 • 12:00 AM UTC

Authors:

Jean Dolbeault

Benoît Perthame

Abstract

The Keller–Segel system describes the collective motion of cells that 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 is k...

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