Analysis of a fully discrete approximation for the classical Keller-Segel model: lower and \textit{a priori} bounds

DOI10.1016/j.camwa.2021.01.009OpenAlexW3126732820MaRDI QIDQ2658825

J. Rafael Rodríguez-Galvàn, Juan Vicente Gutiérrez-Santacreu

Publication date: 24 March 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08867

zbMATH Keywords

lower boundsKeller-Segel equationsfinite-element approximation\textit{a priori} boundsnon-linear parabolic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell movement (chemotaxis, etc.) (92C17)

Related Items (7)

Numerical analysis of a chemotaxis model for tumor invasion ⋮ An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model ⋮ A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion ⋮ Bound-preserving finite element approximations of the Keller–Segel equations ⋮ Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source ⋮ Uniform in time \(L^\infty \)-estimates for an attraction-repulsion chemotaxis model with double saturation ⋮ On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: theoretical and numerical analysis

Uses Software

• FreeFem++

Cites Work

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