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TWO-LEVEL DISCRETE MODELS OF BOLTZMANN EQUATION FOR BINARY MIXTURES

ABSTRACT Several discrete models of Boltzmann equation for a binary mixture having a small number of momenta (velocities) are introduced. The models are plane and possess exactly five conservation laws as expected for a binary mixture in the plane case. Invariant functionals for a model with 8 + 5 momenta (mass ratio is M/m = 3) are given in explicit form.