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.
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This research was funded by a grant from the Russian Science Foundation (Project No. 14-11-00870).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 186, No. 2, pp. 221–229, February, 2016. Original article submitted March 2, 2015.
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Ilyin, O.V. Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions. Theor Math Phys 186, 183–191 (2016). https://doi.org/10.1134/S0040577916020045
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DOI: https://doi.org/10.1134/S0040577916020045