most citedSharp gradient estimate and Yau's Liouville theorem for the heat equation on noncompact manifolds

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math.AP2008

Grow-up rate and refined asymptotics for a two-dimensional Patlak-Keller-Segel model in a disk

Nikos Kavallaris, Philippe Souplet

We consider a special case of the Patlak-Keller-Segel system in a disc, which arises in the modelling of chemotaxis phenomena. For a critical value of the total mass, the solutions…