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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

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MLA
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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.
Journal cover image

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