Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908877052706816 |
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| author | Klar, Axel Zhou, Yizhou |
| author_facet | Klar, Axel Zhou, Yizhou |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09720 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks Klar, Axel Zhou, Yizhou Numerical Analysis 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. |
| title | Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2603.09720 |