Global existence of BV solutions and relaxation limit for a model of multiphase reactive flow

DOI10.1016/j.na.2009.10.048zbMath1184.35202OpenAlexW2099132694MaRDI QIDQ844991

Debora Amadori, Andrea Corli

Publication date: 5 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.10.048

zbMATH Keywords

phase transitionsone space variable

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Three or more component flows (76T30) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (14)

A hyperbolic model of two-phase flow: global solutions for large initial data ⋮ Solutions for a hyperbolic model of multi-phase flow ⋮ Existence of global BV solutions to a model of reacting Euler fluid with variable thermodynamics parameters ⋮ Global well-posedness and asymptotic behavior of \(BV\) solutions to a system of balance laws arising in traffic flow ⋮ Global weak solutions for a compressible gas-liquid model with well-formation interaction ⋮ The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model ⋮ Global existence of solutions by path decomposition for a model of multiphase flow ⋮ Reflection and refraction of waves across an interface of two-phase flow ⋮ Traveling waves in porous media with phase-dependent damping ⋮ Wave scattering in hyperbolic balance laws and the zero relaxation limit ⋮ Global weak solutions for a model of two-phase flow with a single interface ⋮ Uniqueness of Zero Relaxation Limit ⋮ Travelling waves of phase transitions in porous media ⋮ The path decomposition technique for systems of hyperbolic conservation laws

Cites Work

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