Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 74, Issue 2, Pages 284-305Publisher
SIAM PUBLICATIONS
DOI: 10.1137/120903312
Keywords
conservation equations; hyperbolic systems; parabolic regularization; entropy; viscosity solutions
Categories
Funding
- National Science Foundation [DMS-1015984, DMS-1217262]
- Air Force Office of Scientific Research, USAF [FA9550-09-1-0424, FA9550-12-1-0358]
- King Abdullah University of Science and Technology (KAUST) [KUS-C1-016-04]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1217262] Funding Source: National Science Foundation
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This paper investigates a general class of viscous regularizations of the compressible Euler equations. A unique regularization is identified that is compatible with all the generalized entropies, a la [Harten et al., SIAM J. Numer. Anal., 35 (1998), pp. 2117-2127], and satisfies the minimum entropy principle. A connection with a recently proposed phenomenological model by [H. Brenner, Phys. A, 370 (2006), pp. 190-224] is made.
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