A Finite-Volume Scheme for a Cross-Diffusion Model Arising from Interacting Many-Particle Population Systems

DOI10.1007/978-3-030-43651-3_19zbMath1454.65090arXiv1911.11426OpenAlexW2990399043MaRDI QIDQ5117440

Ansgar Jüngel, Antoine Zurek

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11426

zbMATH Keywords

entropy methodfinite volume schemecross-diffusion system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Nonlocal cross-diffusion systems for multi-species populations and networks ⋮ Analysis of a fractional cross-diffusion system for multi-species populations ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ A Convergent Structure-Preserving Finite-Volume Scheme for the Shigesada--Kawasaki--Teramoto Population System

Cites Work

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• ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS
• Note on the Factorization of a Square Matrix into Two Hermitian or Symmetric Matrices
• Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
• The boundedness-by-entropy method for cross-diffusion systems

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