On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation |
| |
Authors: | Shuichi Kawashima Akitaka Matsumura Takaaki Nishida |
| |
Affiliation: | (1) Department of Applied Mathematics and Physics, Kyoto University, 606 Kyoto, Japan |
| |
Abstract: | The compressible and heat-conductive Navier-Stokes equation obtained as the second approximation of the formal Chapman-Enskog expansion is investigated on its relations to the original nonlinear Boltzmann equation and also to the incompressible Navier-Stokes equation. The solutions of the Boltzmann equation and the incompressible Navier-Stokes equation for small initial data are proved to be asymptotically equivalent (mod decay ratet–5/4) ast+ to that of the compressible Navier-Stokes equation for the corresponding initial data. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |