Entropy-based moment closures for kinetic equations

Transport Theory and Statistical Physics

Volumn 26, Issue 4-5, 1997, Pages 591-606

  Levermore, C David ^a  

^a The University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031327858     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459708017931     Document Type: Article

References (10)

1. G.Q. Chen, C.D. Levermore and T.P. Liu, Hyperbolic Conservation Laws with Stiff Relaxation Terms and Entropy, Comm. Pure & Appl. Math. 47 (1994), 787-830.
2. K.O. Friedrichs and P.D. Lax, Systems of Conservation Laws with a Convex Extension, Proc. Nat. Acad. Sci. USA 68 (1971), 1686-1688.
3. S.K. Godunov, An Interesting Class of Quasilinear Systems, Sov. Math. Dokl. 2 (1961), 947-949; original Russian, DAN. USSR 139 (1961) 521- 523.
4. S.K. Godunov, An Interesting Class of Quasilinear Systems, Sov. Math. Dokl. 2 (1961), 947-949; original Russian, DAN. USSR 139 (1961) 521-523.
5. H. Grad, On the Kinetic Theory of Rarefied Gases, Comm. Pure & Appl. Math. 2 (1949) 331-407.
6. C.D. Levermore, Moment Closure Hierarchies for Kinetic Theories, J. Stat. Phys.83 (1996), 1021-1065.
7. C.D. Levermore, Moment Closure Hierarchies for the Boltzmann-Poisson Equation, VLSI Design 6 (1997).
8. C.D. Levermore and W.J. Morokoff, The Gaussian Moment Closure for Gas Dynamics, SIAM J. Appl. Math. (submitted 1996).
9. M. Mock, Systems of Conservation Laws of Mixed Type, J. Diff. Eq. 37 (1980), 70-88.
10. I. Müller and T. Ruggeri, Extended Thermodynamics, Springer Tracts in Nat. Phil. 37, Springer-Verlag, New York (1993).