Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471546 | Applied Mathematics Letters | 2017 | 7 Pages |
Abstract
We prove a blow-up criterion for the solutions to the ν-dimensional Patlak-Keller-Segel equation in the whole space. The condition is new in dimension three and higher. In dimension two, it is exactly Dolbeault's and Perthame's blow-up condition, i.e., blow-up occurs, if the total mass exceeds 8Ï.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Li Chen, Heinz Siedentop,