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Viscous Regularization of the Euler Equations and Entropy Principles

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, à la [Harten et al., SIAM J. Numer. Anal., 35 (1998), pp. 2117--2127], and satisfies the minimum entropy principle. A connection with a …