On Boundedness of Higher Velocity Moments for the Linear Boltzmann Equation with Diffuse Boundary Conditions
Artikel i vetenskaplig tidskrift, 2012

This article 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 L-1-solutions are constructed as limits of iterate functions. Then, in the case of hard potentials together with diffuse boundary conditions, global boundedness in time of higher velocity moments is proved, using our old collision velocity estimates together with a Jensen inequality.

higher velocity moments

infinite-range forces

Linear Boltzmann equation

homogeneous boltzmann

hard potential collisions

Författare

Rolf Pettersson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Transport Theory and Statistical Physics

0041-1450 (ISSN) 1532-2424 (eISSN)

Vol. 41 5-6 345-355

Ämneskategorier

Matematik

Fysik

DOI

10.1080/00411450.2012.671213

Mer information

Senast uppdaterat

2022-10-17