2008 / March Volume 3 No.1
Stability of the laminar solution of the Boltzmann equation for the Benard problem
Published Date |
2008 / March
|
---|---|
Title | Stability of the laminar solution of the Boltzmann equation for the Benard problem |
Author | |
Keyword | |
Download | |
Pagination | 51-97 |
Abstract | We consider the Boltzmann equation for a gas in a horizontal slab, subject to a gravitational force. The boundary conditions
are of diffusive type, specifying the wall temperatures, so that the top temperature is lower than the bottom one (Benard setup).
We consider a 1-dimensional stationary solution, which is close for small Knudsen number to the laminar purely conductive stationary solution of the Oberbeck-Boussinesq equations, and prove its stability under small 1-dimensional perturbations and for small Knudsen number.
|
AMS Subject Classification |
82B40, 82C26
|
Received |
2007-09-21
|