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On the existence of radially symmetric blow-up solutions for the Keller–Segel model

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Abstract.

 We investigate the existence of radially symmetric solutions of the Keller–Segel model

which blow up in finite or infinite time, i.e.

for T max ≤∞, under a larger class of initial data than in [10] and [11].

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Received: 31 August 1999 / Revised version: 30 April 2001 / Published online: 8 May 2002

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Horstmann, D. On the existence of radially symmetric blow-up solutions for the Keller–Segel model. J. Math. Biol. 44, 463–478 (2002). https://doi.org/10.1007/s002850100134

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  • DOI: https://doi.org/10.1007/s002850100134

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