Formation of singularities in one-dimensional Chaplygin gas

DOI10.1142/S0219891614500155zbMath1310.35154arXiv1311.3474MaRDI QIDQ2929927

Qiang Zhang, De-Xing Kong, Chang-Hua Wei

Publication date: 17 November 2014

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3474

zbMATH Keywords

cusp-type singularitiesdelta-type singularityisentropic Chaplygin gaslinearly degenerate characteristics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Analyticity in context of PDEs (35A20) Initial value problems for first-order hyperbolic systems (35L45) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (9)

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 ⋮ Hypersonic limit of two‐dimensional steady compressible Euler flows passing a straight wedge ⋮ Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity ⋮ Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases ⋮ Global existence of smooth solutions to 2D Chaplygin gases on curved space ⋮ Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas

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• An Introduction to Catastrophe Theory and Its Applications
• Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems
• Formation of Shocks for a Single Conservation Law

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