Formation and propagation of singularities in one-dimensional Chaplygin gas
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Publication:2442611
DOI10.1016/j.geomphys.2014.02.009zbMath1284.35260arXiv1311.3737OpenAlexW2024120635MaRDI QIDQ2442611
Publication date: 4 April 2014
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.3737
Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (19)
The asymptotic limits of Riemann solutions for the isentropic extended Chaplygin gas dynamic system with the vanishing pressure ⋮ Delta shock wave for a \(3 \times 3\) hyperbolic system of conservation laws ⋮ The convergence of Riemann solutions to the modified Chaplygin gas equations with a Coulomb-like friction term as the pressure vanishes ⋮ Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state ⋮ Singularity for the one-dimensional rotating Euler equations of Chaplygin gases ⋮ The Riemann problem for the Chaplygin gas equations with a source term ⋮ A globally smooth solution to the relativistic string equation ⋮ Comparison of Riemann solutions for non-isentropic modified and pure Chaplygin gas dynamics ⋮ The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term ⋮ The exact Riemann solutions to the generalized Chaplygin gas equations with friction ⋮ General limiting behavior of Riemann solutions to the non-isentropic Euler equations for modified Chaplygin gas ⋮ The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term ⋮ The limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gas ⋮ The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term ⋮ Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases ⋮ The osgood criterion and finite-time cosmological singularities ⋮ Global existence of smooth solutions to 2D Chaplygin gases on curved space ⋮ On the delta shockwave interactions for the isentropic Chaplygin gas system consisting of three scalar equations ⋮ Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions
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