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

74 引用 (Scopus)

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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.

元の言語English
ページ(範囲)97-124
ページ数28
ジャーナルCommunications in Mathematical Physics
70
発行部数2
DOI
出版物ステータスPublished - 1979 6 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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