Blow-Up of Solutions to the Patlak-Keller-Segel Equation in Dimension ν≥2
Chen, Li · Siedentop, Heinz
Original · EN
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 total mass exceeds 8π.
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