Pettersson, Rrolf (2010) On global boundedness of higher velocity moments for solutions to the linear Boltzmann equation with hard sphere collisions. Il nuovo cimento C, 33 (1). pp. 189-197. ISSN 1826-9885
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Abstract
This paper considers the time- and space-dependent linear Boltzmann equation for elastic or inelastic (granular) collisions. First, in the angular cut-off case or with hard sphere collisions, mild L1-solutions are constructed as limits of iterate functions. Then, in the case of hard sphere collisions together with, e.g., specular boundary conditions, global boundedness in time of higher velocity moments is proved, using our old collision velocity estimates together with a Jensen inequality. This generalizes our earlier results for hard inverse collision forces, and also results given by other authors from the space-homogeneous case to our spacedependent one.
| Item Type: | Article |
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| Uncontrolled Keywords: | Kinetic theory ; Granular systems ; Kinetic theory of gases ; Kinetic and transport theory of gases |
| Subjects: | 500 Scienze naturali e Matematica > 510 Matematica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 31 Mar 2020 15:38 |
| Last Modified: | 31 Mar 2020 15:38 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/16814 |
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