Existence of Entropy Solutions for the Compressible Euler Equations

1999 ◽  
pp. 599-607 ◽  
Author(s):  
Philippe G. Le Floch
Keyword(s):  
Euler Equations ◽  
Entropy Solutions ◽  
Compressible Euler Equations ◽  
Compressible Euler

scholarly journals A minimum entropy principle in the compressible multicomponent Euler equations

2020 ◽  
Vol 54 (2) ◽  
pp. 373-389 ◽  
Author(s):  
Ayoub Gouasmi ◽  
Karthik Duraisamy ◽  
Scott M. Murman ◽  
Eitan Tadmor
Keyword(s):  
Euler Equations ◽  
Entropy Solutions ◽  
Compressible Euler Equations ◽  
Minimum Entropy ◽  
Comput Phys ◽  
Compressible Euler ◽  
Entropy Principle ◽  
Entropy Functions ◽  
Numer Math

In this work, the space of admissible entropy functions for the compressible multicomponent Euler equations is explored, following up on Harten (J. Comput. Phys. 49 (1983) 151–164). This effort allows us to prove a minimum entropy principle on entropy solutions, whether smooth or discrete, in the same way it was originally demonstrated for the compressible Euler equations by Tadmor (Appl. Numer. Math. 49 (1986) 211–219).

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