Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system

DOI10.1016/j.jde.2014.05.027zbMath1302.35239OpenAlexW2057528462MaRDI QIDQ2250577

Dening Li, Shuxing Chen

Publication date: 7 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.jde.2014.05.027

zbMATH Keywords

local existencecontact discontinuityrarefaction wave

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05) Euler equations (35Q31)

Related Items (8)

Global instability of multi-dimensional plane shocks for isothermal flow ⋮ Stability of E-H type regular shock refraction ⋮ Initial-boundary value problem for Euler equations with incompatible data ⋮ Generalised Riemann problem for Euler system ⋮ Compatibility of jump Cauchy data for non-isentropic Euler equations ⋮ Three-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstream ⋮ On the initial-boundary value problem for the Euler equations in presence of a rarefaction wave ⋮ Solutions of the Cauchy problem for the 2-D Euler system with fan-shaped structure

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