Existence of Finite Time Blow-Up in Keller-Segel System
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Perhaps the most classical diffusion model for chemotaxis is the Keller-Segel system u t = Δ u - ∇ · ( u ∇ v ) in R 2 × ( 0 , T ) , v = ( - Δ R 2 ) - 1 u : = 1 2 π ∫ R 2 log 1 | x - z | u ( ... ...
