Closed solution for the spatially homogeneous Kac's model of the nonlinear Boltzmann equation
- 1 April 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (5) , L235-L242
- https://doi.org/10.1088/0305-4470/17/5/003
Abstract
Finds a closed spatially homogeneous solution of the nonlinear Kac's model (1956), in 1+1 dimensions (velocity v and time t). Choosing for the even velocity part of the distribution function the Bobylev-Krook-Wu mode, (1975-6), the author adds an odd velocity part. The author finds the possibility of the existence of the Tjon relaxation effect, when the time t is increasing. This depends on both the initial condition and the cross section.Keywords
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