Communications in Mathematical Sciences

Volume 16 (2018)

Number 8

Numerical computation for the non-cutoff radially symmetric homogeneous Boltzmann equation

Pages: 2167 – 2198

DOI: https://dx.doi.org/10.4310/CMS.2018.v16.n8.a6

Authors

Léo Glangetas (Laboratoire de Mathématiques Raphaël Salem, Université de Rouen Normandie, Saint Etienne du Rouvray, France)

Ibrahim Jrad (Laboratoire de Mathématiques Raphaël Salem, Université de Rouen Normandie, Saint Etienne du Rouvray, France)

Abstract

For the non-cutoff radially symmetric homogeneous Boltzmann equation with Maxwellian molecules, we give the numerical solutions using symbolic manipulations and spectral decomposition of Hermite functions. The initial data can belong to some measure space.

Keywords

Boltzmann equation, kinetic equations, spectral decomposition, symbolic computation, numerical computation

2010 Mathematics Subject Classification

34K08, 35-04, 35P05, 35P30, 35Q20, 65M70

Full Text (PDF format)

Received 7 July 2017

Accepted 13 August 2018

Published 18 April 2019