On the optimal choice of coefficients in a truncated wild sum and approximate solutions for the Kac equation. (English) Zbl 1027.82034
Summary: We study an approximate solution of the Boltzmann problem for Kac’s caricature of a Maxwellian gas by using a truncated and modified expansion of Wild type. We choose the coefficients in the Wild sum approximation using a criterion based on exactly reproducing the behavior of the leading modes.
MSC:
82C40 | Kinetic theory of gases in time-dependent statistical mechanics |
76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |