Entropy Diminishing Finite Volume Approximation of a Cross-Diffusion System

DOI10.1007/978-3-030-43651-3_15zbMath1454.65079OpenAlexW3003882005MaRDI QIDQ5117436

Clément Cancès, Benoît Gaudeul

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://doi.org/10.1007/978-3-030-43651-3_15

zbMATH Keywords

cross-diffusion systementropy dissipative scheme

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Uniqueness of strong solutions and weak-strong stability in a system of cross-diffusion equations
• Entropy Methods for Diffusive Partial Differential Equations
• Cross-diffusion systems with non-zero flux and moving boundary conditions
• Nonlinear Cross-Diffusion with Size Exclusion
• The boundedness-by-entropy method for cross-diffusion systems

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