Chen, Li; Siedentop, Heinz (2017): Blow-up of solutions to the Patlak-Keller-Segel equation in dimension nu >= 2. In: Applied Mathematics Letters, Vol. 74: pp. 102-107 |
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Abstract
We prove a blow-up criterion for the solutions to the v-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 total mass exceeds 8 pi.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0893-9659 |
Language: | English |
ID Code: | 53448 |
Deposited On: | 14. Jun 2018 09:53 |
Last Modified: | 04. Nov 2020 13:32 |
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