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Onsager’s regression hypothesis states that fluctuations evolve according to the laws that govern macroscopic variations.
Boltzmann equation
the derivation of Euler, Navier–Stokes, Burnett, and super-Burnett equations from the Boltzmann equation using Chapman–Enskog method
Source: Agrawal, A., Kushwaha, H.M., Jadhav, R.S. (2020). Burnett Equations: Derivation and Analysis. In: Microscale Flow and Heat Transfer. Mechanical Engineering Series. Springer,Cham.