On the linear Boltzmann equation with rough granular collisions and spin
Paper i proceeding, 2012

This paper considers the time-and space-dependent linear Boltzmann equation with general boundary conditions in the case of inelastic rough granular collisions. First, in the angular cut-off case or hard sphere case, mild L 1-solutions are constructed as limits of the iterate functions and boundedness of higher velocity moments are discussed in the case of hard inverse power collisions or hard sphere collisions. Furthermore, convergence of solutions to a stationary state, when time goes to infinity, is discussed, using a generalized H-theorem.

spine

granular collisions

hard spheres

Liner boltzmann equation

Författare

Rolf Pettersson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

AIP Conference Proceedings

0094-243X (ISSN) 1551-7616 (eISSN)

Vol. 1501 1 971-976
978-07-35-41115-9 (ISBN)

Ämneskategorier

Matematik

DOI

10.1063/1.4769647

ISBN

978-07-35-41115-9

Mer information

Skapat

2017-10-08