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

Léo Glangetas (1) , Ibrahim Jrad (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

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

Mots clés: Boltzmann equation; kinetic equations; spectral decomposition; symbolic computation; numerical computation

Domaines: Equations aux dérivées partielles [math.AP]

Léo Glangetas, Ibrahim Jrad. Numerical computation for the non-cutoff radially symmetric homogeneous boltzmann equation. Communications in Mathematical Sciences, 2019, ⟨10.4310/CMS.2018.v16.n8.a6⟩. ⟨hal-01558528⟩