3 papers
math.NA2026
On a linear DG approximation of chemotaxis models with damping gradient nonlinearities
Daniel Acosta-Soba, Alessandro Columbu, J. Rafael RodrÃguez-Galván
In this work we present a novel linear and positivity preserving upwind discontinuous Galerkin (DG) approximation of a class of chemotaxis models with damping gradient nonlineariti…
math.AP2025
Boundedness in a nonlinear chemotaxis-consumption model with gradient terms
Daniel Acosta Soba, Alessandro Columbu, Giuseppe Viglialoro
We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such a population, source…
math.AP2024
Boundedness criteria for a chemotaxis consumption model with gradient nonlinearities
Alessandro Columbu
This work deals with the consumption chemotaxis problem \begin{equation*} \begin{cases*} u_t = Îu - Ï\nabla \cdot u\nabla v + λu - μu^2 - c \lvert \nabla u \rvert^γ, & \text{i…