Decay and Asymptotic Behavior of a Solution of the Keller-segel System of Degenerated and Non-degenerated Type

Abstract

We classify the global behavior of the weak solution of the Keller-Segel system of degenerated type. For the stronger degeneracy the weak solution exists globally in time and it shows the time uniform decay under some extra conditions. If the degeneracy is weaker the solution exhibit a finite time blow-up if the data is non-negative. The situation is very… (More)

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