13 citations · 14 across the 3 of their papers we have counts for
3 papers
math.AP2016★ 1 cited
Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime
José A. Carrillo, Yoshie Sugiyama
We first show the existence of unique global minimizer of the free energy for all masses associated to a nonlinear diffusion version of the classical Keller-Segel model when the di…
math.AP2012★ 13 cited
Multiple peak aggregations for the Keller-Segel system
Yukihiro Seki, Yoshie Sugiyama, Juan J. L. Velázquez
In this paper we derive matched asymptotic expansions for a solution of the Keller-Segel system in two space dimensions for which the amount of mass aggregation is , where $N=…
math.AP2009
Finite speed of propagation in 1-D degenerate Keller-Segel system
Yoshie Sugiyama
We consider the following Keller-Segel system of degenerate type: \partial u / \partial t = \partial / \partial x (\partial u^m / \partial x - u^{q-1} \cdot \partial v / \partial x…