Half-space kinetic equations with general boundary conditions
Abstract
© 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.
Type
Journal articlePermalink
https://hdl.handle.net/10161/14042Published Version (Please cite this version)
10.1090/mcom/3155Publication Info
Li, Q; Lu, J; & Sun, W (2017). Half-space kinetic equations with general boundary conditions. Mathematics of Computation, 86(305). pp. 1269-1301. 10.1090/mcom/3155. Retrieved from https://hdl.handle.net/10161/14042.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
Collections
More Info
Show full item recordScholars@Duke
Jianfeng Lu
Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm
development for problems from computational physics, theoretical chemistry, materials
science and other related fields.More specifically, his current research focuses include:Electronic
structure and many body problems; quantum molecular dynamics; multiscale modeling
and analysis; rare events and sampling techniques.

Articles written by Duke faculty are made available through the campus open access policy. For more information see: Duke Open Access Policy
Rights for Collection: Scholarly Articles
Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info