SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS

DOI10.1142/S0219891613500069zbMath1452.35137arXiv1205.4995MaRDI QIDQ2836513

Geng Chen, Qingtian Zhang, Robin L. Young

Publication date: 3 July 2013

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

Full work available at URL: https://arxiv.org/abs/1205.4995

zbMATH Keywords

MHDconservation lawssingularity formationcompressible Euler equationslarge data

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Euler equations (35Q31)

Related Items (15)

Development of singularities in the relativistic Euler equations ⋮ Singularity Formation for the Compressible Euler Equations ⋮ Singularity formation for one dimensional full Euler equations ⋮ Stable shock formation for nearly simple outgoing plane symmetric waves ⋮ Formation of singularities for the relativistic Euler equations ⋮ Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts ⋮ Singularity Formation for Radially Symmetric Expanding Wave of Compressible Euler Equations ⋮ Soft congestion approximation to the one-dimensional constrained Euler equations ⋮ Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations ⋮ Existence and regularity of solutions in nonlinear wave equations ⋮ Singularity formation for the compressible Euler equations with general pressure law ⋮ Optimal density lower bound on nonisentropic gas dynamics ⋮ Singularity formation for compressible Euler equations with time-dependent damping ⋮ Finite Time Singularities for Hyperbolic Systems ⋮ Shock-free solutions of the compressible Euler equations

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