Av. Bobylev et G. Spiga, ON A CLASS OF EXACT 2-DIMENSIONAL STATIONARY SOLUTIONS FOR THE BROADWELL MODEL OF THE BOLTZMANN-EQUATION, Journal of physics. A, mathematical and general, 27(22), 1994, pp. 7451-7459
Potential flows in steady-state conditions are studied in detail in th
e framework of the plane Broadwell discrete-velocity model of the Bolt
zmann equation. It is shown that explicit exact solutions with physica
l meaning can be obtained in terms of elementary or special functions.
Previously discovered analytical incompressible flows are recovered a
s particular cases. New solutions for compressible flows are classifie
d and discussed.