Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Non-equilibrium relativistic two-phase flow with heat exchange


Authors: Sebastiano Giambò and Giuseppa Muscianisi
Journal: Quart. Appl. Math. 70 (2012), 773-786
MSC (2010): Primary 76T10, 76D33, 83A05
DOI: https://doi.org/10.1090/S0033-569X-2012-01272-9
Published electronically: July 18, 2012
MathSciNet review: 3052090
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Abstract: We consider two different systems of hyperbolic balance laws governing relativistic two-phase flows with general equations of state. The phases are assumed to be immiscible. In the first one the thermal equilibrium is attained through a relaxation procedure consistent with the second law of thermodynamics, while the second is a fully relaxed model in which the two phases reach an equal temperature instantaneously.

Finally, we deduce and compare the wave velocities for both the models: the hydrodynamical velocity of the relaxed system can never exceed that of the relaxation system.


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Additional Information

Sebastiano Giambò
Affiliation: Department of Mathematics, University of Messina, Viale F. Stagno d’Alcontres, 31, 98166 Messina, Italy
Email: sgiambo@unime.it

Giuseppa Muscianisi
Affiliation: Department of Mathematics, University of Messina, Viale F. Stagno d’Alcontres, 31, 98166 Messina, Italy
Email: gmuscianisi@unime.it

DOI: https://doi.org/10.1090/S0033-569X-2012-01272-9
Received by editor(s): February 22, 2011
Published electronically: July 18, 2012
Additional Notes: The first author’s work was supported by G.N.F.M. of I.N.d.A.M., by TirrenoAmbiente S.p.A. and by research grants of the University of Messina.
Article copyright: © Copyright 2012 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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