Generalized Burnett hydrodynamics

Journal of Statistical Physics

Volumn 132, Issue 3, 2008, Pages 569-580

  Bobylev, A V ^a  

^a KARLSTAD UNIVERSITY   (Sweden)

Author keywords

Boltzmann equation; Burnett equations; Chapman Enskog method; Hydrodynamics; Hyperbolicity; Perturbation theory

Indexed keywords

EID: 46249088681     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9556-5     Document Type: Article

References (8)

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2. Bobylev, A.V.: Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations. J. Stat. Phys. 80, 1063-1085 (2006)
3. Cercignani, C.: The Boltzmann Equation and its Applications. Springer, New York (1988)
4. Jin, S., Slemrod, M.: Regularization of the Burnett equations via relaxation. J. Stat. Phys. 103, 1009-1033 (2001)
5. Postnikov, M.M.: Stable Polynomials. Nauka, Moscow (1981) (in Russian)
6. Slemrod, M.: A normalization method for the Chapman-Enskog expansion. Physica D 109, 257-273 (1997)
7. Slemrod, M.: Constitutive relations for monoatomic gases based on a generalized rational approximation to the sum of the Chapman-Enskog expansion. Arch. Ration. Mech. Anal. 150, 1-22 (1999)
8. Struchtrup, H., Torrilhon, M.: Regularization of Grad's 13 moment equations: derivation and linear analysis. Phys. Fluids 15, 2668-2680 (2003)