Transonic shocks for steady Euler flows with cylindrical symmetry

DOI10.1016/J.NA.2006.02.045zbMath1162.35429OpenAlexW2037788762MaRDI QIDQ875291

Hairong Yuan

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.045

zbMATH Keywords

free boundary problemtransonic shockssteady Euler systemsystem of hyperbolic-elliptic composite type

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Gas dynamics (general theory) (76N15) Free boundary problems for PDEs (35R35) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (7)

On admissible positions of transonic shocks for steady Euler flows in a 3-D axisymmetric cylindrical nozzle ⋮ Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations ⋮ Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts ⋮ 3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzles ⋮ A remark on determination of transonic shocks in divergent nozzles for steady compressible Euler flows ⋮ Uniqueness of transonic shock solutions in a duct for steady potential flow ⋮ Compressible flow and transonic shock in a diverging nozzle

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