Focalization : A numerical test for smoothing effects of collision operators

Stéphane Cordier (1) , Brigitte Lucquin-Desreux (2) , Simona Mancini (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 LJLL - Laboratoire Jacques-Louis Lions

This paper deals with the numerical analysis of the focalization of a beam of particles. In particular, this model can be useful to check wether or not the cut-off Boltzmann equation leads to some kind of smoothing effect as for the Fokker-Planck-Landau equation.

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Cordier, Brigitte Lucquin-Desreux, Simona Mancini. Focalization : A numerical test for smoothing effects of collision operators. Journal of Scientific Computing, 2005, 24, pp.1. ⟨hal-00021499⟩