Akramov, IkromIkromAkramovBorsche, RaulRaulBorscheEckhard, NilsNilsEckhardKlar, AxelAxelKlar2024-06-272024-06-272024-06Kinetic and Related Models 17 (3) 468-488 (2024)https://hdl.handle.net/11420/48095We 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.en1937-509320243468488coupling conditionkinetic half-space problemKinetic layernetworksNatural Sciences and Mathematics::510: MathematicsJournal Article10.3934/krm.2023029Journal Article