Kinetic and viscous boundary layers for broadwell equations
Publication
, Journal Article
Liu, JG; Xin, Z
Published in: Transport Theory and Statistical Physics
January 1, 1996
In this paper, we investigate the boundary layer behavior of solutions to the one dimensional Broadwell model of the nonlinear Boltzmann equation for small mean free path. We consider the analogue of Maxwell's diffusive and the reflexive boundary conditions. It is found that even for such a simple model, there are boundary layers due to purely kinetic effects which cannot be detected by the corresponding Navier-Stokes system. It is also found numerically that a compressive boundary layer is not always stable in the sense that it may detach from the boundary and move into the interior of the gas as a shock layer.
Duke Scholars
Published In
Transport Theory and Statistical Physics
DOI
ISSN
0041-1450
Publication Date
January 1, 1996
Volume
25
Issue
3-5
Start / End Page
447 / 461
Related Subject Headings
- Applied Mathematics
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Liu, J. G., & Xin, Z. (1996). Kinetic and viscous boundary layers for broadwell equations. Transport Theory and Statistical Physics, 25(3–5), 447–461. https://doi.org/10.1080/00411459608220713
Liu, J. G., and Z. Xin. “Kinetic and viscous boundary layers for broadwell equations.” Transport Theory and Statistical Physics 25, no. 3–5 (January 1, 1996): 447–61. https://doi.org/10.1080/00411459608220713.
Liu JG, Xin Z. Kinetic and viscous boundary layers for broadwell equations. Transport Theory and Statistical Physics. 1996 Jan 1;25(3–5):447–61.
Liu, J. G., and Z. Xin. “Kinetic and viscous boundary layers for broadwell equations.” Transport Theory and Statistical Physics, vol. 25, no. 3–5, Jan. 1996, pp. 447–61. Scopus, doi:10.1080/00411459608220713.
Liu JG, Xin Z. Kinetic and viscous boundary layers for broadwell equations. Transport Theory and Statistical Physics. 1996 Jan 1;25(3–5):447–461.
Published In
Transport Theory and Statistical Physics
DOI
ISSN
0041-1450
Publication Date
January 1, 1996
Volume
25
Issue
3-5
Start / End Page
447 / 461
Related Subject Headings
- Applied Mathematics
- 02 Physical Sciences
- 01 Mathematical Sciences