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Interface layers and coupling conditions on networks for linearized kinetic BGK equation
Publikationstyp
Journal Article
Publikationsdatum
2024-06
Sprache
English
Author
Enthalten in
Volume
17
Issue
3
Start Page
468
End Page
488
Citation
Kinetic and Related Models 17 (3) 468-488 (2024)
Publisher DOI
Scopus ID
We consider a linearized kinetic BGK equation and the associated acoustic system on a network. Coupling conditions for the macroscopic equations are derived from the kinetic conditions via an asymptotic analysis near the nodes of the network. This analysis leads to the consideration of a fixpoint problem involving the solutions of kinetic half-space problems. This work extends the procedure developed in [15], where coupling conditions for a simplified BGK model have been derived. Numerical comparisons between different coupling conditions confirm the accuracy of the proposed approximation.
Schlagworte
coupling condition
kinetic half-space problem
Kinetic layer
networks
DDC Class
510: Mathematics