| Issue |
ESAIM: M2AN
Volume 54, Number 2, March-April 2020
|
|
|---|---|---|
| Page(s) | 373 - 389 | |
| DOI | https://doi.org/10.1051/m2an/2019070 | |
| Published online | 12 February 2020 | |
A minimum entropy principle in the compressible multicomponent Euler equations
1
Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA
2
NASA Advanced Supercomputing Division, NASA Ames Research Center, Moffett field, CA, USA
3
Department of Mathematics, Institute for Physical Sciences & Technology (IPST) and Center for Scientific Computation and Mathematical Modeling (CSCAMM), University of Maryland, College Park, MD, USA
* Corresponding author: gouasmia@umich.edu
Received:
20
June
2019
Accepted:
19
September
2019
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).
Mathematics Subject Classification: 76N10 / 76N15 / 35L65 / 65M12
Key words: Euler equations / multicomponent / entropy pairs / entropy stability / minimum principle
© EDP Sciences, SMAI 2020
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