Discrete shock profiles for scalar conservation laws with discontinuous fluxes

DOI10.1016/j.jmaa.2015.10.064zbMath1332.35220OpenAlexW2196157367MaRDI QIDQ892373

Tanja Krunić, Marko Nedeljkov

Publication date: 18 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.064

zbMATH Keywords

Godunov's schemediscrete entropy inequality

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Related Items (1)

Shadow wave solutions for a scalar two-flux conservation law with Rankine–Hugoniot deficit

Cites Work

• Numerical verification of delta shock waves for pressureless gas dynamics
• Shadow waves: Entropies and interactions for delta and singular shocks
• Solving the Buckley-Leverett equation with gravity in a heterogeneous porous medium
• Higher order shadow waves and delta shock blow up in the Chaplygin gas
• Existence of discrete shock profiles of a class of monotonicity preserving schemes for conservation laws
• OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS
• An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
• Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space
• A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
• Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
• A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Conservation laws with discontinuous coefficients
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