Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts

DOI10.1007/s10473-020-0212-8zbMath1499.35440arXiv1803.11071OpenAlexW3016657408MaRDI QIDQ2153150

Qin Zhao, Hairong Yuan

Publication date: 1 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.11071

zbMATH Keywords

stabilitydecompositionthree-dimensionalfrictionsEuler systemnonlocal elliptic problemtransonic shocksFanno flowelliptic-hyperbolic mixed-composite tpeventtsel boundary condition

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Boundary value problems for mixed-type systems of PDEs (35M32)

Related Items (8)

On Admissible Positions of Transonic Shocks for Steady Isothermal Euler Flows in a Horizontal Flat Nozzle under Vertical Gravity ⋮ 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 ⋮ Transonic shocks for 2D steady exothermically reacting Euler flows in a finite nozzle ⋮ Global stability to steady supersonic flows with mass addition in one-dimensional duct ⋮ On Stability of Transonic Shocks for Stationary Rayleigh Flows in Two-dimensional Ducts ⋮ Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions

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