ON STATIONARY SOLUTIONS TO NORMAL, COPLANAR DISCRETE BOLTZMANN EQUATION MODELS
Journal article, 2020

The paper proves existence of renormalized solutions for a class of velocity-discrete coplanar stationary Boltzmann equations with given indata. The proof is based on the construction of a sequence of approximations with L-1- compactness for the integrated collision frequency and gain term. L-1-compactness of a sequence of approximations is obtained using the Kolmogorov-Riesz theorem and replaces the L-1-compactness of velocity averages in the continuous velocity case, not available when the velocities are discrete.

entropy

Stationary Boltzmann equation

discrete coplanar velocities

normal model

Author

Leif Arkeryd

University of Gothenburg

Chalmers, Mathematical Sciences

Anne Nouri

Aix Marseille University

Communications in Mathematical Sciences

1539-6746 (ISSN) 19450796 (eISSN)

Vol. 18 8 2215-2234

Subject Categories

Computational Mathematics

Geometry

Mathematical Analysis

DOI

10.4310/CMS.2020.V18.N8.A6

More information

Latest update

12/10/2021