Email this article Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions
- Authors: Ilyin O.V.1
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Affiliations:
- Dorodnitsyn Computation Center, RAS
- Issue: Vol 186, No 2 (2016)
- Pages: 183-191
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170399
- DOI: https://doi.org/10.1134/S0040577916020045
- ID: 170399
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Abstract
We consider the one-dimensional integro-differential Boltzmann equation for Maxwell particles with inelastic collisions. We show that the equation has a five-dimensional algebra of point symmetries for all dissipation parameter values and obtain an optimal system of one-dimensional subalgebras and classes of invariant solutions.
About the authors
O. V. Ilyin
Dorodnitsyn Computation Center, RAS
Author for correspondence.
Email: oilyin@gmail.com
Russian Federation, Moscow
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