Monotonicity and uniqueness of a 3D transonic shock solution in a conic nozzle with variable end pressure

DOI10.2140/PJM.2011.254.129zbMath1298.35117OpenAlexW2077782847MaRDI QIDQ411892

Jun Li, Zhouping Xin, Hui Cheng Yin

Publication date: 2 May 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/pjm/2011/254-1/p09.xhtml

zbMATH Keywords

maximum principleuniquenessnozzletransonic shockindex of Hilbert problemsteady Euler system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (6)

On Admissible Positions of Transonic Shocks for Steady Isothermal Euler Flows in a Horizontal Flat Nozzle under Vertical Gravity ⋮ Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles ⋮ 3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system ⋮ Transonic shock in finitely long nozzle with porous medium boundary condition ⋮ Uniqueness of steady 1-D shock solutions in a finite nozzle via vanishing viscosity arguments ⋮ Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system with varying background charges

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