Analysis on the asymptotic behavior of transonic shocks for steady Euler flows with gravity in a flat nozzle as the gravity vanishes

DOI10.1016/j.aml.2021.107781OpenAlexW3212385760MaRDI QIDQ2060842

Beixiang Fang, Xin Gao

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107781

zbMATH Keywords

asymptotic behaviortransonic shockssteady Euler systemflat nozzlereceiver pressure

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (1)

Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle

Cites Work

• Transonic shocks in multidimensional divergent nozzles
• On admissible positions of transonic shocks for steady Euler flows in a 3-D axisymmetric cylindrical nozzle
• Transonic nozzle flows and free boundary problems for the full Euler equations
• Compressible flow and transonic shock in a diverging nozzle
• Transonic shock problem for the Euler system in a nozzle
• On transonic shocks in a nozzle with variable end pressures
• Nonlinear stability and instability of transonic flows through a nozzle
• Transonic gas flow in a duct of varying area
• Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle
• Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows
• Uniqueness of steady 1-D shock solutions in a finite nozzle via vanishing viscosity arguments
• Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles
• Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type
• Stability of transonic shock fronts in two-dimensional Euler systems
• On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure
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