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A Lagrangian approach to extended thermodynamics of relativistic fluids

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Abstract

A Lagrangian approach to the fluid dynamics and fourteen moments extended irreversible thermodynamics of relativistic fluids is presented in a quite general formulation. According to the methodology developed here it is possible to deduce, starting from a suitable Lagrangian density \({\fancyscript{L}}\) , the tensor structure of the fluxes governing the system, their relations with the production terms and the energy-momentum tensor. The main field U′ and the four-vector generating function h′α are also evaluated under suitable assumptions concerning a non-equilibrium generalization of Gibbs relation. Convexity condition of the negative entropy density is provided for the privileged time direction w α parallel to h′α. A comparison with the results of standard linearized extended thermodynamics is also performed.

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Authors and Affiliations

  1. Department of Mathematics, University of Bari (I), Via E. Orabona, 4, 70125, Bari (I), Italy

    Alberto Strumia

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  1. Alberto Strumia
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Correspondence to Alberto Strumia.

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Communicated by T. Ruggeri.

Work developed during a sabbatical year at the C.i.r.a.m. (http://www.ciram.unibo.it) of the University of Bologna (Italy).

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Strumia, A. A Lagrangian approach to extended thermodynamics of relativistic fluids. Ricerche mat. 61, 57–81 (2012). https://doi.org/10.1007/s11587-011-0115-z

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  • DOI: https://doi.org/10.1007/s11587-011-0115-z

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