scholarly journals Stabilization Effect of Frictions for Transonic Shocks in Steady Compressible Euler Flows Passing Three-Dimensional Ducts

2020 ◽  
Vol 40 (2) ◽  
pp. 470-502 ◽  
Author(s):  
Hairong Yuan ◽  
Qin Zhao
Keyword(s):  
Three Dimensional ◽  
Compressible Euler ◽  
Euler Flows ◽  
Stabilization Effect

scholarly journals Three dimensional steady subsonic Euler flows in bounded nozzles

2014 ◽  
Vol 256 (11) ◽  
pp. 3684-3708 ◽  
Author(s):  
Chao Chen ◽  
Chunjing Xie
Keyword(s):  
Three Dimensional ◽  
Euler Flows

Three-Dimensional Full Euler Flows with Nontrivial Swirl in Axisymmetric Nozzles

2018 ◽  
Vol 50 (3) ◽  
pp. 2740-2772 ◽  
Author(s):  
Xuemei Deng ◽  
Tian-Yi Wang ◽  
Wei Xiang
Keyword(s):  
Three Dimensional ◽  
Euler Flows

scholarly journals SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS

2013 ◽  
Vol 10 (01) ◽  
pp. 149-172 ◽  
Author(s):  
GENG CHEN ◽  
ROBIN YOUNG ◽  
QINGTIAN ZHANG
Keyword(s):  
Euler Equations ◽  
Space Dimension ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Compressible Euler Equations ◽  
Shock Formation ◽  
Compressible Euler ◽  
Systems Of Conservation Laws ◽  
The One ◽  
Special Case

We prove shock formation results for the compressible Euler equations and related systems of conservation laws in one space dimension, or three dimensions with spherical symmetry. We establish an L∞ bound for C1 solutions of the one-dimensional (1D) Euler equations, and use this to improve recent shock formation results of the authors. We prove analogous shock formation results for 1D magnetohydrodynamics (MHD) with orthogonal magnetic field, and for compressible flow in a variable area duct, which has as a special case spherically symmetric three-dimensional (3D) flow on the exterior of a ball.

scholarly journals Three-dimensional full Euler flows in axisymmetric nozzles

2013 ◽  
Vol 254 (7) ◽  
pp. 2705-2731 ◽  
Author(s):  
Ben Duan ◽  
Zhen Luo
Keyword(s):  
Three Dimensional ◽  
Euler Flows
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