Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation
Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation
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 a small Knudsen number, which is the wave equation. Coupling conditions for the macroscopic equations are derived from the kinetic conditions …