scholarly journals Relaxation limit of interacting shock waves for non-isentropic gas dynamics

2017 ◽  
Vol 450 (1) ◽  
pp. 504-531 ◽  
Author(s):  
Xiaoding Shi ◽  
Yan Yong ◽  
Yinglong Zhang
Keyword(s):  
Shock Waves ◽  
Gas Dynamics ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

Conical shock wave for non-isentropic compressible Euler system of equations

2016 ◽  
Vol 13 (02) ◽  
pp. 215-231 ◽  
Author(s):  
Dening Li ◽  
Zheng Zhang
Keyword(s):  
Shock Wave ◽  
Supersonic Flow ◽  
Shock Waves ◽  
Gas Dynamics ◽  
Euler System ◽  
System Of Equations ◽  
Conical Shock ◽  
Compressible Euler ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

Conical shock wave is generated when a sharp conical projectile flies supersonically in the air. We study the linear stability and existence of steady conical shock waves in supersonic flow for the equations of complete Euler system in 3D non-isentropic gas-dynamics.

LARGE TIME DECAY OF SOLUTIONS TO ISENTROPIC GAS DYNAMICS WITH SPHERICAL SYMMETRY

2009 ◽  
Vol 06 (02) ◽  
pp. 371-387
Author(s):  
NAOKI TSUGE
Keyword(s):  
Spherical Symmetry ◽  
Gas Dynamics ◽  
Large Time ◽  
Approximate Solutions ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Time Decay ◽  
Decay Of Solutions ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

We consider the large time behavior of solutions to isentropic gas dynamics with spherical symmetry. In the present paper, we show the decay of the pressure in particular. To do this, we investigate approximate solutions constructed by a difference scheme.

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