Microscopic solutions of the BoltzmannEnskog equation in the series representation
Abstract
The BoltzmannEnskog equation for a hard sphere gas is known to have so called microscopic solutions, i.e., solutions of the form of timeevolving empirical measures of a finite number of hard spheres. However, the precise mathematical meaning of these solutions should be discussed, since the formal substitution of empirical measures into the equation is not welldefined. Here we give a rigorous mathematical meaning to the microscopic solutions to the BoltzmannEnskog equation by means of a suitable series representation.
 Publication:

arXiv eprints
 Pub Date:
 February 2018
 arXiv:
 arXiv:1802.05926
 Bibcode:
 2018arXiv180205926P
 Keywords:

 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 Mathematics  Dynamical Systems;
 82C05;
 82C40;
 35Q20