The Riemann problem with delta initial data for the one-dimensional transport equations

DOI10.1007/s40840-014-0015-yzbMath1311.35157OpenAlexW2008070340MaRDI QIDQ2017708

Gan Yin, Li-hui Guo

Publication date: 23 March 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0015-y

zbMATH Keywords

generalized solutionsRiemann problemtransport equationsdelta contact discontinuitygeneralized Rankine-Hugoniot conditionsdelta shock wave

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

Measure-valued solutions to a non-strictly hyperbolic system with delta-type Riemann initial data ⋮ Riemann problem for a two‐dimensional steady pressureless relativistic Euler equations ⋮ The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow ⋮ Generalized plane delta shock waves for the \(n\)-dimensional zero-pressure gas dynamics with energy conservation law ⋮ Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations

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