Convergence Results for Some Conservation Laws with a Reflux Boundary Condition and a Relaxation Term Arising in Chemical Engineering

DOI10.1137/S003614109630793XzbMath0912.35101OpenAlexW2064988553MaRDI QIDQ4210241

Publication date: 21 September 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003614109630793x

zbMATH Keywords

entropy compensated compactness Langmuir isotherm Dirichlet-like boundary condition reflux boundary condition

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (11)

Convergence of relaxation schemes for initial boundary value problems for conservation laws ⋮ Stability and convergence of discrete kinetic approximations to an initial-boundary value problem for conservation laws ⋮ Kinetic approximation of a boundary value problem for conservation laws ⋮ Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography ⋮ An asymptotic study to explain the role of active transport in models with countercurrent exchangers ⋮ Time-Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System ⋮ A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws ⋮ Reduction of a model for sodium exchanges in kidney nephron ⋮ A System of Two Conservation Laws with Flux Conditions and Small Viscosity ⋮ Numerical comparison between relaxation and nonlinear equilibrium models. Application to chemical engineering ⋮ Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation

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