The mathematical formulation of the local form of the second principle of thermodynamics
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 27 (1977) no. 2, pp. 207-219. 
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     title = {The mathematical formulation of the local form of the second principle of thermodynamics},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
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     volume = {27},
     number = {2},
     year = {1977},
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     url = {http://archive.numdam.org/item/AIHPA_1977__27_2_207_0/}
}
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Paglietti, A. The mathematical formulation of the local form of the second principle of thermodynamics. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 27 (1977) no. 2, pp. 207-219. http://archive.numdam.org/item/AIHPA_1977__27_2_207_0/

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[8] A. Paglietti, On a local form of the second principle of thermodynamics (to appear).