Formal derivations from Boltzmann equation to three stationary equations
arXiv:2403.11058
Abstract
In this paper, we concentrate on the connection between Boltzmann equation and stationary equations. To our knowledge, the stationary Navier-Stokes-Fourier system, the stationary Euler equations and the stationary Stokes equations are formally derived by moment estimate in the first time and extend the results of Bardos, Golse, and Levermore in J. Statist. Phys. 63(1-2), 323-344, 1991.
Hydrodynamic limit, Moment estimate, The stationary Navier-Stokes-Fourier system, The stationary Euler equations, The stationary Stokes equations