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arXiv · 1509.03225

Half-space Kinetic Equations with General Boundary Conditions

Qin Li·Jianfeng Lu·Weiran Sun
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Abstract

We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various type of reflections, extending our previous work [LLS14] on half-space equations with incoming boundary conditions. As in [LLS14], the main technique is a damping adding-removing procedure. We establish the well-posedness of linear (or linearized) half-space equations with general boundary conditions and quasi-optimality of the numerical scheme. The numerical method is validated by examples including a two-species transport equation, a multi-frequency transport equation, and the linearized BGK equation in 2D velocity space.

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Qin Li, Jianfeng Lu, Weiran Sun. 2015-09-10. Half-space Kinetic Equations with General Boundary Conditions. https://arxiv.org/abs/1509.03225

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