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: Contribution to journalArticle査読

77 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.

本文言語英語
ページ(範囲)97-124
ページ数28
ジャーナルCommunications in Mathematical Physics
70
2
DOI
出版ステータス出版済み - 6 1979

All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 数理物理学

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