Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.487p&link_type=abstract
Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:
Astronomy and Astrophysics
Astrophysics
Scientific paper
The standard relativistic formulation of the Navier-Stokes equations (Eckart 1940, Landau & Lifshitz 1959) suffers from the well-known problem of causality-violating, infinite signal speeds for fluctuations in the dissipative fluxes. Causality is restored in theories of extended non-equilibrium thermodynamics, like the theory of second-order thermodynamics (Mueller 1967) and its relativistic generalization (Israel 1967, Stewart 1977). In the Israel-Stewart theory the dissipative fluxes are subject to transport equations, which in the limit of vanishing relaxation times reduce to the standard Navier-Stokes constraint equations. A 3+1 representation of the Israel-Stewart theory has been given by Peitz & Appl (1998). This representation is suitable for numerical simulation of systems undergoing rapid dynamical evolution (as compared to the thermodynamical timescales), notably collapsing stars or accretion discs around black holes.
Appl Stefan
Peitz Jochen
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