Continuum Mechanics and Thermodynamics

, Volume 8, Issue 4, pp 247–256 | Cite as

Original ArticleOn entropy flux-heat flux relation in thermodynamics with Lagrange multipliers

  • I-Shih Liu

A typical problem often encountered in thermodynamics with Lagrange multipliers is to deduce the relation between the entropy flux and the heat flux from conditions imposed by the entropy principle employing the general entropy inequality. This problem is usually trivial if linear constitutive relations are assumed, and otherwise it can be quite difficult even though such a relation is expected. In this paper, we shall try to formulate such a problem in general and prove as theorems. Some previous thermodynamic theories with Lagrange multipliers are mentioned as typical examples.


Entropy Heat Flux Lagrange Multiplier Constitutive Relation General Entropy 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • I-Shih Liu
    • 1
  1. 1.Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, CEP 21945-970, Rio de Janeiro, BrazilBR

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