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Bargmann group, momentum tensor and Galilean invariance of Clausius–Duhem inequality

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2011
auteur(s) De Saxce Géry; Vallee Claude
journal (abréviation) International Journal of Engineering Science (Int J Eng Sci)
volume (numéro) 50 (1)
  
pages 216 – 232
résumé In this work, we propose a tensorial description for a thermodynamics of dissipative continua compatible with the Galilean physics. With this aim in view, we emphasize the role of Bargmann’s group, a central extension of Galilei’s one. We introduce a new divergence-free 2-rank mixed momentum tensor gathering the energy, the linear momentum and mass density. We recover the balances of energy, linear momentum and mass. From an additive decomposition of this momentum tensor, we deduce the invariance of the production of entropy.
mots clés Tensors; Relativity; Thermodynamics of dissipative media; First and second principles of thermodynamics; Galilean invariance
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