3 papers
math.AP2021
On some sharper boundedness conditions in the higher-dimensional chemotaxis-consumption model
Silvia Frassu, Giuseppe Viglialoro
For the classical zero-flux chemotaxis-consumption model \begin{equation*} u_t= Δu - χ\nabla \cdot (u \nabla v) \quad \textrm{and}\quad v_t=Δv- uv, \quad \text{ with } (x,t)\in Ω\t…
math.AP2020
Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent
Silvia Frassu, Giuseppe Viglialoro
We study this zero-flux attraction-repulsion chemotaxis model, with linear and superlinear production for the chemorepellent and sublinear rate for the chemoattractant: \be…
math.AP2020
Boundedness for a fully parabolic Keller-Segel model with sublinear segregation and superlinear aggregation
Silvia Frassu, Giuseppe Viglialoro
This work deals with a fully parabolic chemotaxis model with nonlinear production and chemoattractant. The problem is formulated on a bounded domain and, depending on a specific in…