VISCOUS REGULARIZATION OF THE EULER EQUATIONS AND ENTROPY PRINCIPLES Academic Article

abstract

• 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. 2014 Society for Industrial and Applied Mathematics.

authors

• Popov, Bojan

published proceedings

• SIAM JOURNAL ON APPLIED MATHEMATICS

altmetric score

• 0.25

author list (cited authors)

• Guermond, J., & Popov, B.

citation count

• 67

complete list of authors

• Guermond, Jean-Luc||Popov, Bojan

publication date

• January 2014

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Applied Mathematics  Journal

keywords

• Conservation Equations
• Entropy
• Hyperbolic Systems
• Parabolic Regularization
• Viscosity Solutions

Digital Object Identifier (DOI)

• 10.1137/120903312

URI

• https://hdl.handle.net/1969.1/182185

start page

• 284

end page

• 305

volume

• 74

issue

• 2

URL

• http://dx.doi.org/10.1137/120903312