4 papers · 1 filter
Two-dimensional individual clustering model
Elissar Nasreddine
This paper is devoted to study a model of individual clustering with two specific reproduction rates in two space dimensions. Given q > 2 and an initial condition in W 1,q (Ω), the…
A model of individual clustering with vanishing diffusion
Elissar Nasreddine
We consider a model of individual clustering with two specific reproduction rates and small diffusion parameter in one space dimension. It consists of a drift-diffusion equation fo…
Well-posedness for a model of individual clustering
Elissar Nasreddine
We study the well-posedness of a model of individual clustering. Given p > N \geq 1 and an initial condition in W 1,p (Ω), the local existence and uniqueness of a strong solution i…
Global existence of solutions to a parabolic-elliptic chemotaxis system with critical degenerate di ffusion
Elissar Nasreddine
This paper is devoted to the analysis of non-negative solutions for a degenerate parabolic-elliptic Patlak-Keller-Segel system with critical nonlinear diffusion in a bounded domain…