Extended Navier–Stokes Equations in the Framework of Higher-Order Generalized Hydrodynamics

In this paper are derived the equations of evolution that govern the hydrodynamic motion of a viscous fluid in nonequilibrium thermodynamic conditions in terms of a basic set of quantities consisting of the density of molecules, the density of energy, and the first and second flux of particle density. For this study was used a higher-order generalized hydrodynamics of order 2 resorting to Heims–Jaynes perturbation expansion for averages retaining only the first-order contribution.