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On the linear Boltzmann equation with rough granular collisions and spin

Rolf Pettersson (Institutionen för matematiska vetenskaper, matematik)
AIP Conference Proceedings: 28th International Symposium on Rarefied Gas Dynamics (RGD) (0094-243X). Vol. 1501 (2012), 1, p. 971-976.
[Konferensbidrag, refereegranskat]

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.

Nyckelord: granular collisions, hard spheres, Liner boltzmann equation, spine



Denna post skapades 2013-02-25. Senast ändrad 2016-05-09.
CPL Pubid: 174056

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur