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

TL;DR

This paper presents a numerical method for solving the non-cutoff radially symmetric homogeneous Boltzmann equation with Maxwellian molecules using spectral decomposition and symbolic calculations.

Contribution

It introduces a novel numerical approach combining spectral methods and symbolic manipulation for this specific Boltzmann equation.

Findings

Successfully computes numerical solutions for initial data in measure spaces.

Demonstrates the effectiveness of spectral decomposition with Hermite functions.

Provides a framework for future numerical analysis of similar kinetic equations.

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 Hermit functions. The initial data can belong to some measure space.