Half-space kinetic equations with general boundary conditions

Journal Article (Journal Article)

© 2016 American Mathematical Society. We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various types of reflections, extending our previous work on half-space equations with incoming boundary conditions. As in our previous work, 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 quasioptimality 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.

Full Text

Duke Authors

Cited Authors

  • Li, Q; Lu, J; Sun, W

Published Date

  • January 1, 2017

Published In

Volume / Issue

  • 86 / 305

Start / End Page

  • 1269 - 1301

International Standard Serial Number (ISSN)

  • 0025-5718

Digital Object Identifier (DOI)

  • 10.1090/mcom/3155

Citation Source

  • Scopus