A minimum entropy principle in the compressible multicomponent Euler equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 54 (2020) no. 2, pp. 373-389.

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).

DOI : 10.1051/m2an/2019070
Classification : 76N10, 76N15, 35L65, 65M12
Mots-clés : Euler equations, multicomponent, entropy pairs, entropy stability, minimum principle 
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     author = {Gouasmi, Ayoub and Duraisamy, Karthik and Murman, Scott M. and Tadmor, Eitan},
     title = {A minimum entropy principle in the compressible multicomponent {Euler} equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {373--389},
     publisher = {EDP-Sciences},
     volume = {54},
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     zbl = {1434.76101},
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Gouasmi, Ayoub; Duraisamy, Karthik; Murman, Scott M.; Tadmor, Eitan. A minimum entropy principle in the compressible multicomponent Euler equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 54 (2020) no. 2, pp. 373-389. doi : 10.1051/m2an/2019070. http://www.numdam.org/articles/10.1051/m2an/2019070/

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