On the uniqueness of solution to generalized Chaplygin gas

DOI10.3934/dcds.2017190zbMath1360.35120OpenAlexW2608371313MaRDI QIDQ524617

Marko Nedeljkov, Sanja Ružičić

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017190

zbMATH Keywords

entropy solutionsBessel functionsdelta shocksgeneralized Chaplygin modelshadow waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

The asymptotic limits of Riemann solutions for the isentropic extended Chaplygin gas dynamic system with the vanishing pressure ⋮ Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas ⋮ The Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relation ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the generalized Chaplygin Euler equations of compressible fluid flow ⋮ Shadow wave tracking procedure and initial data problem for pressureless gas model ⋮ Solutions with concentration and cavitation to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas ⋮ Admissibility of a solution to generalized Chaplygin gas ⋮ Energy dissipation admissibility condition for conservation law systems admitting singular solutions ⋮ On the delta shockwave interactions for the isentropic Chaplygin gas system consisting of three scalar equations

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