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of the estonian academy of sciences
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Thermodynamic hierarchies of evolution equations; pp. 389–395
PDF | doi: 10.3176/proc.2015.3S.09

Peter Ván, Robert Kovács, Tamás Fülöp

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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