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

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

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