3 papers
math.NA2026
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
In this work, we develop a structure-preserving numerical scheme for a Cahn-Hilliard-Darcy model that describes tumor growth in a fluid-saturated porous medium. First, we derive a…
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…
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…