Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone

DOI10.1215/00277630-2010-008zbMath1206.35173OpenAlexW1512776111MaRDI QIDQ3055492

Hui Cheng Yin, Gang Xu

Publication date: 8 November 2010

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00277630-2010-008

zbMATH Keywords

stability of shocksperturbations of the conic bodytransonic conic shock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Related Items

Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone ⋮ 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 ⋮ Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton's sine-squared law ⋮ On the global existence and stability of a multi-dimensional supersonic conic shock wave ⋮ On the instability problem of a 3-D transonic oblique shock wave

Cites Work

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• Global conic shock wave for the steady supersonic flow past a cone: isothermal case
• Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone
• On global transonic shocks for the steady supersonic Euler flows past sharp 2-D wedges
• Global solutions with a single transonic shock wave for quasilinear hyperbolic systems
• A free boundary value problem of Euler system arising in supersonic flow past a curved cone
• Nonlinear stability of a self-similar 3-dimensional gas flow
• Global shock waves for the supersonic flow past a perturbed cone
• A global solution to a two-dimensional Riemann problem involving shocks as free boundaries
• Global supersonic conic shock wave for the steady supersonic flow past a cone: Polytropic gas
• On the non-existence of continuous transonic flows past profiles I
• Global Multidimensional Transonic Conic Shock Wave for the Perturbed Supersonic Flow Past a Cone
• GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE
• Solvability of a problem for transonic flow with a local supersonic region