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- W4298025246 abstract "We consider kinetic and associated macroscopic equations on networks. The general approach will be explained in this paper for a linear kinetic BGK model and the corresponding limit for small Knudsen number, which is the wave equation. 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 coupled solutions of kinetic half-space problems. A new approximate method for the solution of kinetic half-space problems is derived and used for the determination of the coupling conditions. Numerical comparisons between the solutions of the macroscopic equation with different coupling conditions and the kinetic solution are presented for the case of tripod and more complicated networks." @default.
- W4298025246 created "2022-10-01" @default.
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- W4298025246 date "2017-08-25" @default.
- W4298025246 modified "2023-09-23" @default.
- W4298025246 title "Kinetic layers and coupling conditions for macroscopic equations on networks I: the wave equation" @default.
- W4298025246 doi "https://doi.org/10.48550/arxiv.1708.07757" @default.
- W4298025246 hasPublicationYear "2017" @default.
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