Nonlinear waves in an ultra-relativistic heat-conducting fluid I (Landau–Lifshitz formulation)

A second-order theory for relativistic heat-conducting fluids in Landau–Lifshitz scheme is formulated. Weak discontinuity waves propagation is also investigated and the expression for the velocities of propagation of hydrodynamic and heat waves for an ultra-relativistic fluid is obtained. Moreover,...

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Bibliographic Details
Published in:Reports on mathematical physics 2011, Vol.67 (3), p.375-394
Main Authors: Giambò, S., La Rosa, V., Muscianisi, G.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Discontinuity
Evolution
fluid dynamics
Fluid flow
Fluids
irreversible thermodynamics
Mathematical analysis
relativity
Wave fronts
Wave propagation
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Summary:A second-order theory for relativistic heat-conducting fluids in Landau–Lifshitz scheme is formulated. Weak discontinuity waves propagation is also investigated and the expression for the velocities of propagation of hydrodynamic and heat waves for an ultra-relativistic fluid is obtained. Moreover, the evolution equations for the amplitude of the above discontmuities are derived and the behaviour at the wave fronts is discussed.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(11)60020-7