Global stability of steady transonic Euler shocks in quasi-one-dimensional nozzles

DOI10.1016/J.MATPUR.2012.09.006zbMath1287.35073arXiv1107.5856OpenAlexW2594150152MaRDI QIDQ387844

Zhouping Xin, Chunjing Xie, Jeffrey Rauch

Publication date: 17 December 2013

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5856

zbMATH Keywords

stabilitydynamic stabilityEuler shocksquasi-one dimensional nozzlestransonic shocks

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05)

Related Items (9)

On Admissible Positions of Transonic Shocks for Steady Isothermal Euler Flows in a Horizontal Flat Nozzle under Vertical Gravity ⋮ Transonic shock solutions to the Euler system in divergent-convergent nozzles ⋮ Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts ⋮ Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles ⋮ Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle ⋮ Dynamic stability of transonic shock solutions for one-dimensional Euler equations with external forcing ⋮ Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles ⋮ Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions ⋮ Time-periodic solutions of symmetric hyperbolic systems

Cites Work

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