3 citations · 3 across the 2 of their papers we have counts for
2 papers
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…
math.DG2005★ 3 cited
Sharp gradient estimate and Yau's Liouville theorem for the heat equation on noncompact manifolds
Philippe Souplet, Qi S. Zhang
We derive a sharp, localized version of elliptic type gradient estimates for positive solutions (bounded or not) to the heat equation. These estimates are akin to the Cheng-Yau est…