Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone

DOI10.1016/j.jde.2007.12.011zbMath1155.35062OpenAlexW2002498529MaRDI QIDQ959858

Gang Xu, Hui Cheng Yin

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.12.011

zbMATH Keywords

global existencepotential flow equationsupersonic flowtransonic shockSturm-Liouville theoremtwofold conic point

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65)

Related Items

On transonic shocks in a conic divergent nozzle with axi-symmetric exit pressures ⋮ On the nonexistence of a global nontrivial subsonic solution in a 3D unbounded angular domain ⋮ Three‐dimensional stationary supersonic flows with axial symmetry in relativistic hydrodynamics ⋮ Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle ⋮ On the existence and stability of a global subsonic flow in a 3D infinitely long cylindrical nozzle ⋮ Three-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstream ⋮ On the global existence and stability of a multi-dimensional supersonic conic shock wave ⋮ Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone ⋮ On the instability problem of a 3-D transonic oblique shock wave ⋮ On the existence and stability of 2-D perturbed steady subsonic circulatory flows

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