On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation

Shuichi Kawashima, Akitaka Matsumura, Takaaki Nishida

研究成果: Article査読

76 被引用数 (Scopus)

抄録

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 rate t-5/4) as t→+∞ to that of the compressible Navier-Stokes equation for the corresponding initial data.

本文言語English
ページ(範囲)97-124
ページ数28
ジャーナルCommunications in Mathematical Physics
70
2
DOI
出版ステータスPublished - 1979 6 1
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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