Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone

DOI10.1090/S0033-569X-2012-01279-8zbMath1252.35201OpenAlexW2020765799MaRDI QIDQ2892166

Xu Gang, Yin Huicheng

Publication date: 18 June 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2012-01279-8

zbMATH Keywords

full Euler systemstream line

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler equations (35Q31) Second-order quasilinear hyperbolic equations (35L72)

Related Items (4)

Nonexistence of a globally stable supersonic conic shock wave for the steady supersonic isothermal Euler flow ⋮ Conical sonic-supersonic solutions for the 3-D steady full Euler equations ⋮ On the instability problem of a 3-D transonic oblique shock wave ⋮ Conical shock wave for non-isentropic compressible Euler system of equations

Cites Work

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• The lifespan of a class of smooth spherically symmetric solutions of the compressible Euler equations with variable entropy in three space dimensions
• Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone
• Conical shock waves for an isentropic Euler system
• The existence of multidimensional shock fronts
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• Formation and construction of a shock wave for 3-D compressible Euler equations with the spherical initial data
• GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE

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