Thermodynamic hierarchies of evolution equations

Ván, Péter and Kovács, Róbert Sándor and Fülöp, Tamás (2015) Thermodynamic hierarchies of evolution equations. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 64 (3). pp. 389-395. ISSN 1736-6046

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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 inter- nal 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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