On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure

DOI10.1002/CPA.21966zbMath1479.76062arXiv1908.02463OpenAlexW3112441304MaRDI QIDQ5006429

Beixiang Fang, Zhouping Xin

Publication date: 16 August 2021

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02463

zbMATH Keywords

existencefree boundary problemlinearized Euler equationsnonuniquenessCourant-Friedrichs boundary condition

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (12)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ On Admissible Positions of Transonic Shocks for Steady Isothermal Euler Flows in a Horizontal Flat Nozzle under Vertical Gravity ⋮ On admissible positions of transonic shocks for steady Euler flows in a 3-D axisymmetric cylindrical nozzle ⋮ Structural stability of transonic shock flows with external force in a divergent 3-D axisymmetric perturbed nozzle ⋮ 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 ⋮ Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows ⋮ 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 ⋮ Steady compressible radially symmetric flows with nonzero angular velocity in an annulus ⋮ Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle ⋮ Analysis on the asymptotic behavior of transonic shocks for steady Euler flows with gravity in a flat nozzle as the gravity vanishes

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