On Boundedness of Higher Velocity Moments for the Linear Boltzmann Equation with Diffuse Boundary Conditions
Journal article, 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

Author

Rolf Pettersson

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Transport Theory and Statistical Physics

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

Vol. 41 5-6 345-355

Subject Categories

Mathematics

Physical Sciences

DOI

10.1080/00411450.2012.671213

More information

Latest update

10/17/2022