Uniqueness of steady 1-D shock solutions in a finite nozzle via vanishing viscosity arguments

DOI10.3934/cpaa.2021066zbMath1500.35210OpenAlexW3147521790MaRDI QIDQ2089829

Qin Zhao, Beixiang Fang

Publication date: 24 October 2022

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

Full work available at URL: https://doi.org/10.3934/cpaa.2021066

zbMATH Keywords

vanishing viscosityEuler systembarotropicpolytropic gases1-D shocksflat nozzles

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Viscous-inviscid interaction for compressible fluids and gas dynamics (76N17) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle ⋮ Analysis on the asymptotic behavior of transonic shocks for steady Euler flows with gravity in a flat nozzle as the gravity vanishes

Cites Work

• Monotonicity and uniqueness of a 3D transonic shock solution in a conic nozzle with variable end pressure
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• The Existence and Limit Behavior of the One-Dimensional Shock Layer
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