Global existence and exponential decay for hyperbolic dissipative relativistic fluid theories

Journal of Mathematical Physics

Volumn 38, Issue 10, 1997, Pages 5272-5279

  Kreiss, Heinz Otto ^a   Nagy, Gabriel B ^b   Ortiz, Omar E ^a,b   Reula, Oscar A ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031536702     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531940     Document Type: Article

References (13)

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2. R. Geroch and L. Lindblom, Phys. Rev. D 41, 1855 (1990).
3. R. Geroch and L. Lindblom, Ann. Phys. 207, 394 (1991).
4. R. Geroch, J. Math. Phys. 36, 4226 (1995).
5. L. Lindblom, Ann. Phys. 247, 1 (1996).
6. H. O. Kreiss and J. Lorenz, Initial-Boundary Value Problems and the Navier-Stokes Equations (Academic, New York, 1989).
7. H. O. Kreiss, O. E. Ortiz, and O. A. Reula, UCLA, CAM Report 96-40, accepted for publication in J. Diff. Eqns.
8. 3 and flat.
9. T. Kato, Perturbation Theory for Linear Operators (Springer Verlag, New York, 1966). See also, G. W. Stewart and Ji-guang Sun, Matrix Perturbation Theory, Computer Science and Scientific Computing (Academic, New York, 1990).
10. T. Kato, Perturbation Theory for Linear Operators (Springer Verlag, New York, 1966). See also, G. W. Stewart and Ji-guang Sun, Matrix Perturbation Theory, Computer Science and Scientific Computing (Academic, New York, 1990).
11. A. Matsumura, Publ. Res. Inst. Math. Science, Kyoto Univ. 13, 349 (1977).
12. H. O. Kreiss, O. E. Ortiz, and O. A. Reula, Proceedings of the Pacific Conference on Gravitation and Cosmology (to be published by World Scientific).
13. A more general theorem without the condition of symmetry is also proved in Ref. 7. For the present application it is enough to consider the symmetric case.