Please use this identifier to cite or link to this item: https://doi.org/10.3934/dcds.2009.24.145
Title: Boltzmann equation, boundary effects
Authors: Liu, T.-P.
Yu, S.-H. 
Keywords: Boltzmann equation
Boundary condition
Green's function
Pointwise estimates
Issue Date: May-2009
Citation: Liu, T.-P., Yu, S.-H. (2009-05). Boltzmann equation, boundary effects. Discrete and Continuous Dynamical Systems 24 (1) : 145-157. ScholarBank@NUS Repository. https://doi.org/10.3934/dcds.2009.24.145
Abstract: The Boltzmann equation, [1], offers richer and physically more realistic modelling of the boundary effects than the fluid dynamic equations. Important phenomena such as the thermal transpiration and some of the bifurcations due to curvature of the boundary can only modeled using the kinetic formulation. In this paper we survey the analytical ideas that have been introduced in recent years for the study of the boundary effects. The main point is that more quantitative estimates of the solutions are needed for such a study.
Source Title: Discrete and Continuous Dynamical Systems
URI: http://scholarbank.nus.edu.sg/handle/10635/102938
ISSN: 10780947
DOI: 10.3934/dcds.2009.24.145
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