Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms

DOI10.1093/IMANUM/DRAA040OpenAlexW3046511079MaRDI QIDQ5077020

Esther S. Daus, Antoine Zurek, Ansgar Jüngel

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09544

zbMATH Keywords

finite volumesbiofilm modelingstructure-preserving numerical scheme

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (4)

A convergent finite volume scheme for dissipation driven models with volume filling constraint ⋮ Analysis of a finite-volume scheme for a single-species biofilm model ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth

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