Abstract.
Six exact solutions (related to the conservation of number, energy and momentum) of the linearized Boltzmann equations for a binary mixture of rigid spheres, for the case of isotropic scattering in the center-of-mass system, are reported. The verification of the reported exact solutions (collisional invariants) is based on a recently reported explicit formulation of the linearized Boltzmann equation for a binary mixture of rigid spheres. Elementary analysis is used also to establish a basic flow condition.
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Garcia, R.D.M., Siewert, C.E. Some exact results basic to the linearized Boltzmann equations for a binary mixture of rigid spheres. Z. angew. Math. Phys. 57, 999–1010 (2006). https://doi.org/10.1007/s00033-005-0027-4
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DOI: https://doi.org/10.1007/s00033-005-0027-4