On entropy stable schemes for degenerate parabolic multispecies kinematic flow models

DOI10.1002/NUM.22381zbMath1425.65085OpenAlexW2942716003MaRDI QIDQ5239823

Raimund Bürger, Paul E. Méndez, C. Parés-Madroñal

Publication date: 22 October 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22381

zbMATH Keywords

degenerate convection-diffusion equationspolydisperse sedimentationentropy stable schemesmulticlass traffic flow

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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A well‐balanced and entropy stable scheme for a reduced blood flow model ⋮ High-order entropy stable schemes based on a local adaptive WENO viscosity for degenerate convection-diffusion equations ⋮ An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

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