Note on the derivation of multi-component flow systems

DOI10.1090/proc/12614zbMath1331.35257OpenAlexW1985758563MaRDI QIDQ5255252

Matthieu Hillairet, Bresch, Didier

Publication date: 12 June 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12614

zbMATH Keywords

barotropic compressible Navier Stokes systemviscous multi-component model

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Compressible fluids and gas dynamics (76N99)

Related Items (8)

Mathematical justification of a compressible bifluid system with different pressure laws: a continuous approach ⋮ Pressure relaxation in some multiphase flow models ⋮ Two approaches to compute unsteady compressible two-phase flow models with stiff relaxation terms ⋮ Mathematical justification of a compressible bi-fluid system with different pressure laws: a semi-discrete approach and numerical illustrations ⋮ Pressure-relaxation limit for a one-velocity Baer–Nunziato model to a Kapila model ⋮ Analysis of compressible bubbly flows. Part I: construction of a microscopic model ⋮ Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model ⋮ Finite-energy solutions for compressible two-fluid Stokes system

Cites Work

• Unnamed Item
• A two-fluid model for violent aerated flows
• Compressible Navier-Stokes equations with a non-monotone pressure law
• A five equation reduced model for compressible two-phase flow problems
• A multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equations
• Ordinary differential equations, transport theory and Sobolev spaces
• Two-phase flow: Models and methods
• Large amplitude variations for the density of a viscous compressible fluid.
• Theory of multicomponent fluids
• Propagation of density-oscillations in solutions to the barotropic compressible Navier-Stokes system
• Vorticity and Incompressible Flow
• Propagation of socillations in the Solutions of 1-D Compressible Fluid Equations
• Regularity of weak solutions of the compressible isentropic navier-stokes equations
• Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Multiphase Flow
• On the existence of globally defined weak solutions to the Navier-Stokes equations

This page was built for publication: Note on the derivation of multi-component flow systems