The invariant domain of Riemann solution for 1D non-isentropic gas dynamics equations

2021 ◽  
Vol 62 (10) ◽  
pp. 101507
Author(s):  
Tingting Zhang
Keyword(s):  
Gas Dynamics ◽  
Gas Dynamics Equations ◽  
Invariant Domain ◽  
Riemann Solution ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

Behavior of the Overtaking Problem for Isentropic Gas Dynamics Equations with Polytropic Gas in Exponent γ=3

2011 ◽  
Vol 52-54 ◽  
pp. 405-410
Author(s):  
Tao Pan
Keyword(s):  
Weak Solution ◽  
Gas Dynamics ◽  
Physical State ◽  
Gas Dynamics Equations ◽  
Polytropic Gas ◽  
Compression Waves ◽  
Elementary Wave ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas ◽  
Convexity Analysis

The entropy weak solution of the isentropic gas dynamics system has the important background of physics and mechanics, and the study on the interaction of nonlinear elementary wave not only had direct mechanics significance, but also was an effective method to clarify the structure of the weak solution. We explored the overtaking problem of the centred rarefaction wave and the shock wave for isentropic gas dynamics system with polytropic gas in γ=3. By using Riemann invariants, the characteristic method and convexity analysis for the envelope of compression waves, we clarified the physical state after interaction for the overtaking problem in the interaction location, and proved that the locally structure of the entropy weak solution was piecewise smooth.

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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