KINETIC-MODELS WITH DISCRETE VELOCITY DIS TRIBUTION AND GALILEAN INVARIANCE

One derives below new discrete kinetics models in the spirit of Broadw ell's and Cabannes', which are Galiliean - invariant. The counterpart of this property is the loss of semilinearity. These models become qua silinear and non-conservative. The propagation speeds are though quite simple, these are particle velocities. Consequently, the geometrical optics, when applied to these models, does not yield to focusing.