Using an expansion based on the Knudsen number, the Navier- Stokes equation can be derived from this equation in the Chapman-Enskog procedure.
This equation can be derived by truncating the BBGKY hierarchy at the second equation. Using an expansion based on the Knudsen number, the Navier- Stokes equation can be derived from this equation in the Chapman-Enskog procedure. A related equation known as the Vlasov equation is appropriate for collisionless plasmas, while this equation gives the time evolution of a distribution function in the presence of short-range forces and particle collisions. FTP, name this transport equation whose namesake shares credit for the equation for the distribution of gas velocities with Maxwell, and for the T to the fourth radiation law with Stefan.
This equation can be derived by truncating the BBGKY hierarchy at the second equation.
{Boltzmann} transport equation