SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS
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Publication:2836513
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
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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