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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…
math.AP2024
Dissipative gradient nonlinearities prevent -formations in local and nonlocal attraction-repulsion chemotaxis models
Tongxing Li, Daniel Acosta Soba, Alessandro Columbu +1
We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density, and for the chemosensitivities and the production…