Global Uniqueness of Transonic Shocks in Divergent Nozzles for Steady Potential Flows

DOI10.1137/080740179zbMath1197.35332arXiv0903.5111OpenAlexW2086498857MaRDI QIDQ4931687

Hairong Yuan, Li Liu

Publication date: 30 September 2010

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

Full work available at URL: https://arxiv.org/abs/0903.5111

zbMATH Keywords

maximum principleuniquenessfree boundarynozzlepotential flowtransonic shockBernoulli condition

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Transonic flows (76H05) Maximum principles in context of PDEs (35B50) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

On Admissible Positions of Transonic Shocks for Steady Isothermal Euler Flows in a Horizontal Flat Nozzle under Vertical Gravity ⋮ Transonic shocks for 3-D axisymmetric compressible inviscid flows in cylinders ⋮ Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles ⋮ Uniqueness and instability of subsonic–sonic potential flow in a convergent approximate nozzle

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