  Thermal transport in classical fluids is analyzed in terms of a Higher-Order
Generalized Hydrodynamics (or Mesoscopic Hydro-Thermodynamics), that is,
depending on the evolution of the energy density and its fluxes of all orders.
It is derived in terms of a Kinetic Theory based on the Non-Equilibrium
Statistical Ensemble Formalism. The general system of coupled evolution
equations is derived. Maxwell times - which are of large relevance to determine
the character of the motion - are derived. They also have a quite important
role for the choice of the contraction of description (limitation in the number
of fluxes to be retained) in the study of the hydrodynamic motion. In a
description of order 1 it is presented an analysis of the technological process
of thermal prototyping.
