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On the Optimal Choice of Coefficients in a Truncated Wild Sum and Approximate Solutions for the Kac Equation |
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| Authors: | Eric A. Carlen Francesco Salvarani |
| Affiliation: | (1) School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332;(2) Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129 Torino, Italy;(3) Centre de Mathématiques et de Leurs Applications, École Normale Supérieure de Cachan, 61, av. du Président Wilson, 94235 Cachan Cedex, France |
| Abstract: | 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. |
| Keywords: | Kac's model Wild's sum time relaxed schemes |
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