Abstract
Abstract Two difficulties arrive in the discrete kinetic theory. They are the possible existence of macroscopic variables other than mass, momentum and energy and the anisotropic character generally related to the models. In order to reduce them, multiple collisions and symmetry properties on the models are adopted. The Euler and Navier-Stokes equations associated with a class of discrete models with different moduli are written. The so-obtained equations are compared with the usual equations of the fluid dynamics.
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