On the structure of continuum thermodynamical diffusion fluxes -- a novel closure scheme and its relation to the Maxwell-Stefan and the Fick-Onsager approach

DOI10.1016/j.ijengsci.2023.103818OpenAlexW3048908068MaRDI QIDQ2683491

Dieter Bothe, Pierre-Étienne Druet

Publication date: 10 February 2023

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.05327

zbMATH Keywords

irreversible thermodynamicsentropy productioncross-diffusionmulticomponent diffusioncore-diagonal closuredarken equationMaxwell-Stefan diffusivitiessign of diffusivities

Mathematics Subject Classification ID

Related Items (2)

Localisation of stress-affected chemical reactions in solids described by coupled mechanics-diffusion-reaction models ⋮ Incompressible limit for a fluid mixture

Cites Work

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• Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system
• Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- the isothermal incompressible case
• Analysis of improved Nernst-Planck-Poisson models of compressible isothermal electrolytes
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• A lower bound for the smallest singular value of a matrix
• Singular M-matrices and inverse positivity
• Global solutions for quasilinear parabolic problems
• Generalized inverses. Theory and applications.
• Mass transport in multicomponent compressible fluids: local and global well-posedness in classes of strong solutions for general class-one models
• A theory of generalised solutions for ideal gas mixtures with Maxwell-Stefan diffusion
• Perturbative Cauchy theory for a flux-incompressible Maxwell-Stefan system
• Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics
• Continuum thermodynamics of chemically reacting fluid mixtures
• On the Maxwell-Stefan Approach to Multicomponent Diffusion
• Heat-Conducting, Compressible Mixtures with Multicomponent Diffusion: Construction of a Weak Solution
• Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics
• On Strong Dynamics of Compressible Two-Component Mixture Flow
• Transport Properties of Multicomponent Gas Mixtures
• Thermodynamics

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