# Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation

@article{Borsche2018KineticLA, title={Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation}, author={R. Borsche and A. Klar}, journal={SIAM J. Sci. Comput.}, year={2018}, volume={40} }

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… Expand

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