Balance laws of the type of entropy are treated in the framework of geometric measure theory, and a weak version, although conceptually simple, of the Second Law of Thermodynamics is introduced, allowing extensions to measure-valued entropy productions and to sets of finite perimeter as subbodies.
Marzocchi, A., Musesti, A., On the measure-theoretic foundations of the second law of thermodynamics, <<MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES>>, 2002; (12): 721-736. [doi:10.1142/S0218202502001866] [http://hdl.handle.net/10807/130909]
On the measure-theoretic foundations of the second law of thermodynamics
Marzocchi, AlfredoCo-primo
;Musesti, AlessandroCo-primo
2002
Abstract
Balance laws of the type of entropy are treated in the framework of geometric measure theory, and a weak version, although conceptually simple, of the Second Law of Thermodynamics is introduced, allowing extensions to measure-valued entropy productions and to sets of finite perimeter as subbodies.
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