Jf. Bourgat et al., MICROREVERSIBLE COLLISIONS FOR POLYATOMIC GASES AND BOLTZMANN THEOREM, European journal of mechanics. B, Fluids, 13(2), 1994, pp. 237-254
We prove an H-Theorem for two Boltzmann models describing general poly
atomic gases with the help of only one additional degree of freedom. T
he kinetic density is then represented by a function f(t, x, v, I), t
greater-than-or-equal-to 0, x is-an-element-of R3, v is-an-element-of
R3 and I is-an-element-of R+ where I2 represents the internal energy o
f the particles. The first model is due to Borpakke-Larsen, the second
one is deduced from a monoatomic gas in higher dimension. Because of
the nonlinearity of the microscopic collision process, the classical p
roof has to be adapted. These models are then illustrated by several n
umerical examples.