On the existence and stability of a global subsonic flow in a 3D infinitely long cylindrical nozzle

DOI10.1007/s11401-009-0056-yzbMath1209.35085OpenAlexW1964604257MaRDI QIDQ2430326

Gang Xu, Hui Cheng Yin

Publication date: 6 April 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-009-0056-y

zbMATH Keywords

global existencepotential flow equationBessel functionsubsonic flowweighted Hölder space

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

Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles, Global uniqueness of steady subsonic Euler flows in three-dimensional ducts, Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles, 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

Cites Work

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• Three-dimensional subsonic flows, and asymptotic estimates for elliptic partial differential equations
• On subsonic compressible flows in a two-dimensional duct
• Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone
• Exterior problems in the half-space for the Laplace operator in weighted Sobolev spaces
• Existence and regularity of stream functions for subsonic flows past profiles with a sharp trailing edge
• On two-dimensional sonic-subsonic flow
• On the non-existence of continuous transonic flows past profiles I
• Asymptotic behavior and uniqueness of plane subsonic flows
• Subsonic flows around a body in space
• Modelling subsonic vortex gas flows in channels of complex geometries
• Sonic and Subsonic Axisymmetric Nozzle Flows
• Subsonic flow around the leading edge of a thin aerofoil with a parabolic nose
• Global Multidimensional Transonic Conic Shock Wave for the Perturbed Supersonic Flow Past a Cone
• Global subsonic and subsonic-sonic flows through infinitely long nozzles
• COMPRESSIBLE SUBSONIC FLOW IN TWO-DIMENSIONAL CHANNELS WITH MIXED BOUNDARY CONDITIONS
• Existence and uniqueness of a subsonic flow past a given profile