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arXiv · 1412.4490

Thermodynamic hierarchies of evolution equations

P. Ván·R. Kovács·T. Fülöp
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Abstract

Non-equilibrium thermodynamics with internal variables introduces a natural hierarchical arrangement of evolution equations. Three examples are shown: a hierarchy of linear constitutive equations in thermodynamic rhelogy with a single internal variable, a hierarchy of wave equations in the theory of generalized continua with dual internal variables and a hierarchical arrangement of the Fourier equation in the theory of heat conduction with current multipliers.

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P. Ván, R. Kovács, T. Fülöp. 2014-12-15. Thermodynamic hierarchies of evolution equations. https://doi.org/10.3176/proc.2015.3s.09

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