ON STATIONARY SOLUTIONS TO NORMAL, COPLANAR DISCRETE BOLTZMANN EQUATION MODELS
Artikel i vetenskaplig tidskrift, 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.

normal model

Stationary Boltzmann equation

entropy

discrete coplanar velocities

Författare

Leif Arkeryd

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Anne Nouri

Aix-Marseille Université

Communications in Mathematical Sciences

1539-6746 (ISSN) 19450796 (eISSN)

Vol. 18 8 2215-2234

Ämneskategorier (SSIF 2011)

Beräkningsmatematik

Geometri

Matematisk analys

DOI

10.4310/CMS.2020.V18.N8.A6

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Senast uppdaterat

2025-03-25