Hyperbolicity of exact hydrodynamics for three-dimensional linearized Grad's equations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 2, 2007, Pages

  Colangeli, Matteo ^a   Karlin, Iliya V ^a   Kröger, Martin ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR EQUATIONS; THEOREM PROVING;

GRAD'S EQUATIONS; HYPERBOLICITY; MOMENT SYSTEM;

HYDRODYNAMICS;

EID: 34547912842     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.022201     Document Type: Article

References (8)

1. S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge University Press, New York, 1970).
2. A. V. Bobylev, Sov. Phys. Dokl. SPHDA9 0038-5689 27, 29 (1982).
3. A. V. Bobylev, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-8087-6 124, 371 (2006).
4. M. Colangeli, I. V. Karlin, and M. Kröger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.051204 75, 051204 (2007).
5. H. Grad, Commun. Pure Appl. Math. CPMAMV 0010-3640 10.1002/cpa.3160020403 2, 331 (1949).
6. A. N. Gorban and I. V. Karlin, Physica A PHYADX 0378-4371 10.1016/0378-4371(92)90044-Q 190, 393 (1992).
7. A. N. Gorban and I. V. Karlin, Transp. Theory Stat. Phys. TTSPB4 0041-1450 23, 559 (1994).
8. A. N. Gorban and I. V. Karlin, Invariant Manifolds for Physical and Chemical Kinetics, Vol. 660 of Lecture Notes in Physics (Springer, Berlin, 2005).