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arXiv · 2603.09720

Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks

Axel Klar·Yizhou Zhou
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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.

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Axel Klar, Yizhou Zhou. 2026-09-21. Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks. https://arxiv.org/abs/2603.09720

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