On Stability of Transonic Shocks for Stationary Rayleigh Flows in Two-dimensional Ducts

DOI10.1137/20M1326398zbMath1453.35142OpenAlexW3096218255MaRDI QIDQ5130523

Junlei Gao, Li Liu, Hairong Yuan

Publication date: 4 November 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1326398

zbMATH Keywords

stabilityRayleigh flowcompressible Euler equationssteady flowtransonic shockelliptic hyperbolic composite-mixed system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Boundary value problems for first-order elliptic systems (35J56) Euler equations (35Q31) Boundary value problems for mixed-type systems of PDEs (35M32) Boundary value problems for systems of nonlinear first-order PDEs (35F60)

Related Items (4)

Stability of stationary subsonic compressible Euler flows with mass-additions in two-dimensional straight 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 ⋮ Global stability to steady supersonic flows with mass addition in one-dimensional duct

Cites Work

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