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The Lagrangian View-Point Compared with the Eulerian One, in the Framework of Extended Thermodynamics

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Abstract

The salient points of Extended Thermodynamics are here revised according to the Lagrangian view-point. The conservation laws of mass, momentum and energy, from the Lagrangian view-point, have already been treated in literature. Here a similar procedure is followed for all the balance laws of Extended Thermodynamics with an arbitrary number of moments. It is also shown how the Galilean Relativity Principle and some symmetry condition, which are present in the Eulerian view-point, can be “translated” in the Lagrangian view-point, where they are no more so self-evident.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Cagliari, Cagliari, Italy

    Maria Cristina Carrisi & Sebastiano Pennisi

  2. Department of Mathematics & Research Center of Applied Mathematics (CIRAM), University of Bologna, Bologna, Italy

    Tommaso Ruggeri

Authors
  1. Maria Cristina Carrisi
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  2. Sebastiano Pennisi
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  3. Tommaso Ruggeri
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Correspondence to Sebastiano Pennisi.

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Carrisi, M.C., Pennisi, S. & Ruggeri, T. The Lagrangian View-Point Compared with the Eulerian One, in the Framework of Extended Thermodynamics. Acta Appl Math 132, 199–212 (2014). https://doi.org/10.1007/s10440-014-9921-0

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  • DOI: https://doi.org/10.1007/s10440-014-9921-0

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