Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell-Stefan type

DOI10.1016/j.aml.2017.06.007OpenAlexW2735045162MaRDI QIDQ1680789

Francesco Salvarani, Harsha Hutridurga

Publication date: 16 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06196

zbMATH Keywords

cross-diffusionMaxwell-Stefan

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Classical flows, reactions, etc. in chemistry (92E20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Three or more component flows (76T30) Boltzmann equations (35Q20)

Related Items (8)

Perturbative Cauchy theory for a flux-incompressible Maxwell-Stefan system ⋮ Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model ⋮ Weak-Strong Uniqueness for Maxwell--Stefan Systems ⋮ On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting ⋮ Higher-order Maxwell-Stefan model of diffusion ⋮ On the relaxation of the Maxwell-Stefan system to linear diffusion ⋮ Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems ⋮ Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures

Cites Work

• A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations
• Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system
• Mixed finite element methods for addressing multi-species diffusion using the Maxwell-Stefan equations
• The Maxwell-Stefan diffusion limit for a kinetic model of mixtures
• The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections
• Maxwell-Stefan diffusion asymptotics for gas mixtures in non-isothermal setting
• Existence Analysis of Maxwell--Stefan Systems for Multicomponent Mixtures
• On the Maxwell-Stefan Approach to Multicomponent Diffusion
• On the Maxwell-Stefan diffusion limit for a mixture of monatomic gases
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell-Stefan type