Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks
Numerical Analysis
2026-03-11 v1 Numerical Analysis
Abstract
This paper studies linear discrete kinetic models on networks and their asymptotic behavior in the small Knudsen number limit. For coupling conditions at an n-edge junction under a symmetric formulation, we introduce a change of variables that reformulates the system into n independent initial-boundary value problems. The asymptotic expansions are then constructed and rigorously justified by deriving an error estimate based on the energy method.
Cite
@article{arxiv.2603.09720,
title = {Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks},
author = {Axel Klar and Yizhou Zhou},
journal= {arXiv preprint arXiv:2603.09720},
year = {2026}
}