Abstract
Mathematical structure of generalized heat equations in rigid solids is analyzed from the point of view of internal variables theory. Internal variables are used for accounting for the influence of inner microstructure on heat conduction. It is shown that all the known extensions of the classical heat equation can be recovered in the framework of the internal variables theory. The introduction of a single internal variable does not change the parabolic type of the heat conduction equations. Hyperbolic generalized heat conduction equations can be derived only by means of dual internal variables.
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