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Wild's solution of the nonlinear Boltzmann equation

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Abstract

The relaxation to equilibrium of a spatially uniform pseudo-Maxwellian gas is considered. A modified Wild expansion is defined for solving the nonlinear Boltzmann equation. The positivity and asymptotic conditions, as well as the conservation rules, are maintained at each truncation order. Some particular examples are evaluated. The comparison with exact solutions illustrates the very fast convergence of this method.

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Barrachina, R.O. Wild's solution of the nonlinear Boltzmann equation. J Stat Phys 52, 357–368 (1988). https://doi.org/10.1007/BF01016419

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  • DOI: https://doi.org/10.1007/BF01016419

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