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Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis.

Journal of mathematical biology, no. 1 (2011): 1-32

Cited: 71|Views27
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Abstract

In two space dimensions, the parabolic-parabolic Keller-Segel system shares many properties with the parabolic-elliptic Keller-Segel system. In particular, solutions globally exist in both cases as long as their mass is less than a critical threshold M(c). However, this threshold is not as clear in the parabolic-parabolic case as it is in...More

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