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- Title
Group Analysis of the One-Dimensional Boltzmann Equation: III. Condition for the Moment Quantities to Be Physically Meaningful.
- Authors
Platonova, K. S.; Borovskikh, A. V.
- Abstract
We present the group classification of the one-dimensional Boltzmann equation with respect to the function F = F(t, x, c) characterizing an external force field under the assumption that the physically meaningful constraints dx = c dt, dc = F dt, dt = 0, and dx =0 are imposed on the variables. We show that for all functions F, the algebra is finite-dimensional, and its maximum dimension is eight, which corresponds to the equation with a zero F.
- Subjects
BOLTZMANN'S equation; GROUP theory; DIMENSION theory (Algebra); GAS dynamics; MATHEMATICAL equivalence
- Publication
Theoretical & Mathematical Physics, 2018, Vol 195, Issue 3, p886
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577918060077