Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)

In this paper a second-order theory for relativistic heat-conducting fluids is derived in the Eckart scheme, based on the assumption that the entropy 4-current should include quadratic terms in the heat flux. In the special case of ultrarelativistic fluids, the velocities of hydrodynamic and thermal...

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Main Authors:	Sebastiano Giambò, Veronica La Rosa, Giuseppa Muscianisi
Format:	Article
Language:	English
Published:	Accademia Peloritana dei Pericolanti 2012-06-01
Series:	Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Subjects:	Heat-conducting fluid Relativistic fluid Nonlinear waves
Online Access:	http://dx.doi.org/10.1478/AAPP.901A2

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spelling	doaj-0984fc5ee2db4ef096083310f0bbd5c12020-11-24T22:50:14ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422012-06-01901A210.1478/AAPP.901A1Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)Sebastiano GiambòVeronica La RosaGiuseppa MuscianisiIn this paper a second-order theory for relativistic heat-conducting fluids is derived in the Eckart scheme, based on the assumption that the entropy 4-current should include quadratic terms in the heat flux. In the special case of ultrarelativistic fluids, the velocities of hydrodynamic and thermal weak discontinuity wave fronts are determined and, through the second-order compatibility conditions, the discontinuities associated to the waves and the transport equations for the amplitude of the discontinuities are found out. Finally, for heat wave, plane, cylindrical and spherical diverging waves are also investigated.http://dx.doi.org/10.1478/AAPP.901A2Heat-conducting fluidRelativistic fluidNonlinear waves
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sebastiano Giambò Veronica La Rosa Giuseppa Muscianisi
spellingShingle	Sebastiano Giambò Veronica La Rosa Giuseppa Muscianisi Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation) Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali Heat-conducting fluid Relativistic fluid Nonlinear waves
author_facet	Sebastiano Giambò Veronica La Rosa Giuseppa Muscianisi
author_sort	Sebastiano Giambò
title	Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)
title_short	Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)
title_full	Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)
title_fullStr	Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)
title_full_unstemmed	Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)
title_sort	nonlinear waves in an ultrarelativistic heat-conducting fluid ii (eckart formulation)
publisher	Accademia Peloritana dei Pericolanti
series	Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
issn	0365-0359 1825-1242
publishDate	2012-06-01
description	In this paper a second-order theory for relativistic heat-conducting fluids is derived in the Eckart scheme, based on the assumption that the entropy 4-current should include quadratic terms in the heat flux. In the special case of ultrarelativistic fluids, the velocities of hydrodynamic and thermal weak discontinuity wave fronts are determined and, through the second-order compatibility conditions, the discontinuities associated to the waves and the transport equations for the amplitude of the discontinuities are found out. Finally, for heat wave, plane, cylindrical and spherical diverging waves are also investigated.
topic	Heat-conducting fluid Relativistic fluid Nonlinear waves
url	http://dx.doi.org/10.1478/AAPP.901A2
work_keys_str_mv	AT sebastianogiambo nonlinearwavesinanultrarelativisticheatconductingfluidiieckartformulation AT veronicalarosa nonlinearwavesinanultrarelativisticheatconductingfluidiieckartformulation AT giuseppamuscianisi nonlinearwavesinanultrarelativisticheatconductingfluidiieckartformulation
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Nonlinear waves in an ultrarelativistic heat-conducting fluid II (Eckart formulation)

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