Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface

DOI10.1007/978-3-031-40864-9_15zbMath1530.65103arXiv2303.15817OpenAlexW4376632402MaRDI QIDQ6182857

Virginie Ehrlacher, Clément Cancès, Claire Chainais-Hillairet, Jean Cauvin-Vila

Publication date: 22 December 2023

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.15817

zbMATH Keywords

finite volume schememoving interfacecross-diffusion systemcut-cell methodfree energy dissipationvapor deposition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system

Cites Work

• On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
• A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces
• On the Maxwell-Stefan Approach to Multicomponent Diffusion
• Cross-diffusion systems with non-zero flux and moving boundary conditions
• A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System

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