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On a class of exact two-dimensional stationary solutions for the Broadwell model of the Boltzmann Equation
Approximate solutions to the problem of stationary shear flow of smooth granular materials
The inelastic Boltzmann equation is used in order to study stationary shear flows in a rarefield granular gas of hard spheres. We resort to a Gaussian moment approximation in order to calculate the pressure tensor in three dimensions. The method is discussed along with previously introduced techniques: asymptotic expansion in the near elastic limit, and pseudo-Maxwellian approximation. Numerical results and approximate analytic formulas for the pressure tensor are presented and briefly commented on. A comparison with the pseudo-Maxwellian solution is discussed in detail
Exact and asymptotic stationary solutions of the semicontinuous Boltzmann equation
AbstractThe semicontinuous model of the Boltzmann equation is studied in stationary situations and with evaporation-condensation boundary conditions. A class of exact solutions of a special form, which may also be regarded as asymptotic to more general solutions, is explicitly derived
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