Interface layers and coupling conditions on networks for linearized kinetic BGK equation

Publikationstyp
Journal Article
Date Issued
2024-06
Sprache
English
Author(s)
Akramov, Ikrom 
Mathematik E-10  
Borsche, Raul  
Eckhard, Nils
Klar, Axel  
TORE-URI
https://hdl.handle.net/11420/48095
Journal
Kinetic and Related Models  
Volume
17
Issue
3
Start Page
468
End Page
488
Citation
Kinetic and Related Models 17 (3) 468-488 (2024)
Publisher DOI
10.3934/krm.2023029
Scopus ID
2-s2.0-85195402015
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.
Subjects
coupling condition
kinetic half-space problem
Kinetic layer
networks
DDC Class
510: Mathematics