Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
J Burczak, R Granero-Belinchón - arXiv preprint arXiv:1707.04527, 2017 - arxiv.org
In this paper we consider a $ d $-dimensional ($ d= 1, 2$) parabolic-elliptic Keller-Segel
equation with a logistic forcing and a fractional diffusion of order $\alpha\in (0, 2) $. We …
equation with a logistic forcing and a fractional diffusion of order $\alpha\in (0, 2) $. We …
Fractional diffusion limit of a linear kinetic equation in a bounded domain
P Aceves-Sánchez, C Schmeiser - arXiv preprint arXiv:1607.00855, 2016 - arxiv.org
A version of fractional diffusion on bounded domains, subject to'homogeneous Dirichlet
boundary conditions' is derived from a kinetic transport model with homogeneous inflow …
boundary conditions' is derived from a kinetic transport model with homogeneous inflow …
[PDF][PDF] Fractional diffusion limits of kinetic transport equations
MP Aceves-Sánchez - phaidra.univie.ac.at
This thesis is devoted to the study of macroscopic limits of various kinetic equations featuring
a heavy tailed equilibrium distribution. In the classical case in which the equilibrium …
a heavy tailed equilibrium distribution. In the classical case in which the equilibrium …