Free piston problem for isentropic gas dynamics

1995 ◽  
Vol 12 (2) ◽  
pp. 163-194 ◽  
Author(s):  
Shigeharu Takeno
Keyword(s):  
Gas Dynamics ◽  
Piston Problem ◽  
Free Piston ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit

1996 ◽  
Vol 126 (6) ◽  
pp. 1309-1340 ◽  
Author(s):  
M. Slemrod
Keyword(s):  
Equation Of State ◽  
Gas Dynamics ◽  
Existence Of Solutions ◽  
Piston Problem ◽  
Search For Self ◽  
Isentropic Gas Dynamics ◽  
Self Similar ◽  
Isentropic Gas ◽  
Image Position ◽  
Viscous Limit

This paper proves the existence of solutions to the spherical piston problem for isentropic gas dynamics with equation of state p(p) = Apγ, γ≧ 1. The method of analysis is to replace the usual viscosity ε with εt, thus permitting a search for self-similar viscous limits. The main result of the paper is that self-similar viscous limits are proved to exist and converge to a solution to the piston problem whenN = 1, 2, 3 space dimensions.

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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