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Mathematics  2014 

Stable blow-up dynamic for the parabolic-parabolic Patlak-Keller-Segel model

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Abstract:

We consider the parabolic-parabolic two-dimensional Patlak-Keller-Segel problem. We prove the existence of stable blow-up dynamics in finite time in the radial case. We extend in this article the result of [36] for the parabolic-elliptic case.

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