On Boundedness of Higher Velocity Moments for the Linear Boltzmann Equation with Diffuse Boundary Conditions
Paper i proceeding, 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.

Linear Boltzmann equation

infinite-range forces

homogeneous boltzmann

hard potential collisions

higher velocity moments


Rolf Pettersson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Transport Theory and Statistical Physics

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

Vol. 41 345-355