RT journal article
T1 On a Linear DG Approximation of Chemotaxis Models with Damping Gradient Nonlinearities
A1 Acosta Soba, Daniel
A1 Columbu, Alessandro
A1 Rodríguez Galván, José Rafael
A2 Matemáticas
K1 Chemotactic collapse
K1 Discontinuous Galerkin
K1 Linear scheme
K1 Positivity
K1 Upwind
AB In this work we present and analyse a novel linear and positivity preserving upwind discontinuous Galerkin (DG) approximation of a class of chemotaxis models with damping gradient nonlinearities. In particular, both a local and a nonlocal model including nonlinear diffusion, chemoattraction, chemorepulsion and logistic growth are considered. Some numerical experiments in the context of chemotactic collapse are presented, whose results are in accordance with the previous analysis and show how the blow-up can be prevented by means of the damping gradient term.
PB Springer   International Publishing AG
SN 2199-305X
YR 2026
FD 2026
LK http://hdl.handle.net/10498/40509
UL http://hdl.handle.net/10498/40509
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 08-nov-2026