scholarly journals Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics

2001 ◽  
Vol 59 (2) ◽  
pp. 315-342 ◽  
Author(s):  
Jiequan Li ◽  
Hanchun Yang
Keyword(s):  
Gas Dynamics ◽  
Vanishing Viscosity ◽  
Delta Shocks

The global Hölder-continuous solution of isentropic gas dynamics

1993 ◽  
Vol 123 (2) ◽  
pp. 231-238 ◽  
Author(s):  
Yun-Guang Lu
Keyword(s):  
Cauchy Problem ◽  
Gas Dynamics ◽  
Continuous Solution ◽  
Hölder Continuous ◽  
Vanishing Viscosity ◽  
Equations Of Gas Dynamics ◽  
The Cauchy Problem ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

SynopsisThis paper considers the Cauchy problem for the isentropic equations of gas dynamics in Euler coordinates ρt + (ρu)x = 0, (ρu)t + (ρu)2 + P(ρ))x=0 and gives the Hölder-continuous solution by applying the method of vanishing viscosity.

Vanishing viscosity for non-isentropic gas dynamics with interacting shocks

2016 ◽  
Vol 36 (6) ◽  
pp. 1699-1720 ◽  
Author(s):  
Xiaoding SHI ◽  
Yan YONG ◽  
Yinglong ZHANG
Keyword(s):  
Gas Dynamics ◽  
Vanishing Viscosity ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

Supernovae and interstellar gas dynamics

1967 ◽  
Vol 31 ◽  
pp. 117-119
Author(s):  
F. D. Kahn ◽  
L. Woltjer
Keyword(s):  
Lower Limit ◽  
High Velocity ◽  
Gas Dynamics ◽  
Interstellar Cloud ◽  
Interstellar Gas ◽  
Random Motions ◽  
Relativistic Particles

The efficiency of the transfer of energy from supernovae into interstellar cloud motions is investigated. A lower limit of about 0·002 is obtained, but values near 0·01 are more likely. Taking all uncertainties in the theory and observations into account, the energy per supernova, in the form of relativistic particles or high-velocity matter, needed to maintain the random motions in the interstellar gas is estimated as 1051·4±1ergs.

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