A Bhatnagar–Gross–Krook approximation to scalar conservation laws with discontinuous flux

DOI10.1017/S030821050900105XzbMath1207.35217arXiv1003.4155OpenAlexW2330980145MaRDI QIDQ3056316

Florent Berthelin, Julien Vovelle

Publication date: 11 November 2010

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4155

zbMATH Keywords

entropy solutionskinetic formulationBGK approximationequilibrium function

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (7)

Stochastic perturbation of the Lighthill-Whitham-Richards model via the method of stochastic characteristics ⋮ Scalar conservation laws with rough flux and stochastic forcing ⋮ The Riemann problem for isentropic compressible Euler equations with discontinuous flux ⋮ A Bhatnagar-Gross-Krook approximation to stochastic scalar conservation laws ⋮ A priori estimates for rough PDEs with application to rough conservation laws ⋮ An integral representation of functions in gas-kinetic models ⋮ Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

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