We consider a second order PDEs system of Parabolic–Elliptic type with chemotactic terms.
The system describes the evolution of a biological species “u” moving towards a higher …

We consider a two dimensional parabolic–elliptic Keller–Segel equation with a fractional
diffusion of order α∈(0, 2) and a logistic term. In the case of an analogous problem with …

Critical Keller–Segel meets Burgers on : large- time smooth solutions Page 1 Nonlinearity
PAPER Critical Keller–Segel meets Burgers on : largetime smooth solutions To cite this article …

In this note, we study a fractional Poisson–Nernst–Planck equation modeling a
semiconductor device. We prove several decay estimates for the Lebesgue and Sobolev …

We study the global existence of solutions to a one-dimensional drift–diffusion equation with
logistic term, generalizing the classical parabolic–elliptic Keller–Segel aggregation equation …

We study a doubly parabolic Keller–Segel system in one spatial dimension, with diffusions
given by fractional Laplacians. We obtain several local and global well-posedness results …

In this paper we consider a fractional parabolic–elliptic Keller–Segel system with a logistic
source on R N. First, we establish the regularity of weak solutions of the fractional parabolic …

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 …

In this paper, we investigate the generalized Keller–Segel system with two fractional
parabolic equations and a classical elliptic equation in R n with n⩾ 2. We develop a …

This paper deals with a coupled chemotaxis–Navier–Stokes system with logistic source and
a fractional diffusion of order α∈(1 2, 1) n t+ u⋅∇ n=−(− Δ) α n− χ∇⋅(n∇ c)+ an− bn 2, c t+ …