This paper deals with a micro–macro derivation of a variety of cross-diffusion models for a
large system of active particles. Some of the models at the macroscopic scale can be viewed …

In this paper we study this chemotaxis-system {ut= Δ u− χ∇⋅(u∇ v)+ g (u), x∈ Ω, t> 0, vt= Δ
v− v+ u, x∈ Ω, t> 0, defined in a convex smooth and bounded domain Ω of R n, with n≥ 1 …

In this paper we study the chemotaxis-system {ut= Δ u− χ∇⋅(u∇ v)+ g (u) x∈ Ω, t> 0, vt= Δ
v− v+ ux∈ Ω, t> 0, defined in a convex smooth and bounded domain Ω of R 3, with χ> 0 and …

In this paper, we study the zero‐flux chemotaxis‐system where Ω is a bounded and smooth
domain of, n≥ 1, and where, k, μ> 0 and α≤ 1. For any v≥ 0, the chemotactic sensitivity …

In this paper we study classical solutions to the zero–flux attraction–repulsion chemotaxis–
system (◇){ut= Δ u− χ∇⋅(u∇ v)+ ξ∇⋅(u∇ w) in Ω×(0, t⁎), 0= Δ v+ α u− β v in Ω×(0, t⁎), 0 …

In this paper we study the chemotaxis-system {ut=∆ u− χ∇·(u∇ v)+ g (u) x∈ Ω, t> 0, vt=∆ v−
v+ ux∈ Ω, t> 0, defined in a convex smooth and bounded domain Ω of Rn, n≥ 1, with χ> 0 …

This paper deals with the parabolic–elliptic Keller–Segel system with density‐dependent
sublinear sensitivity and logistic source, ut= Δ u− χ∇·(u (u+ 1) α− 1∇ v)+ λ u− μ u κ, x∈ Ω, t> …

This paper deals with the blow-up phenomena for the following porous medium equation
systems with nonlinear boundary conditions ut= Δ u m+ k 1 (t) f 1 (v), vt= Δ v n+ k 2 (t) f 2 (u) …

We devote to investigating the following nonlinear reaction diffusion equations with nonlocal
boundary conditions {ut=∇⋅(ρ (u)∇ u)+ k 1 (t) f (u) in D×(0, t⁎),∂ u∂ ν= k 2 (t)∫ D g (u) dx …

This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion
systems under various boundary conditions. Specifically, conditions on data are introduced …