Viscous Regularization of the Euler Equations and Entropy Principles

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, ` 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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