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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.NA2025
On a linear DG approximation of chemotaxis models with damping gradient nonlinearities
Daniel Acosta-Soba, Alessandro Columbu, J. Rafael Rodríguez-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…