抄録
This chapter is a summary of the work concerning the Navier-Stokes equation derived from the discrete Boltzmann equation. It considers a model of gas whose molecular velocities are restricted to a set of m constant vectors v1,vm in IRn. The purpose of this chapter is to study the hydrodynamical equations derived from the discrete Boltzmann equation by applying the Chapman-Enskog method. This chapter shows that the Navier-Stokes equation is transformed into a symmetric system by change of the dependent variable. It is known that the Navier-Stokes equation can be transformed into a coupled system of a symmetric hyperbolic system and a symmetric strongly parabolic system, by changing the dependent variable from w t o u.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 15-30 |
| ページ数 | 16 |
| ジャーナル | North-Holland Mathematics Studies |
| 巻 | 160 |
| 発行部数 | C |
| DOI | |
| 出版物ステータス | 出版済み - 1 1 1989 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
これを引用
The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation. / Kawashima, Shuichi; Shizuta, Yasushi.
：: North-Holland Mathematics Studies, 巻 160, 番号 C, 01.01.1989, p. 15-30.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation
AU - Kawashima, Shuichi
AU - Shizuta, Yasushi
PY - 1989/1/1
Y1 - 1989/1/1
N2 - This chapter is a summary of the work concerning the Navier-Stokes equation derived from the discrete Boltzmann equation. It considers a model of gas whose molecular velocities are restricted to a set of m constant vectors v1,vm in IRn. The purpose of this chapter is to study the hydrodynamical equations derived from the discrete Boltzmann equation by applying the Chapman-Enskog method. This chapter shows that the Navier-Stokes equation is transformed into a symmetric system by change of the dependent variable. It is known that the Navier-Stokes equation can be transformed into a coupled system of a symmetric hyperbolic system and a symmetric strongly parabolic system, by changing the dependent variable from w t o u.
AB - This chapter is a summary of the work concerning the Navier-Stokes equation derived from the discrete Boltzmann equation. It considers a model of gas whose molecular velocities are restricted to a set of m constant vectors v1,vm in IRn. The purpose of this chapter is to study the hydrodynamical equations derived from the discrete Boltzmann equation by applying the Chapman-Enskog method. This chapter shows that the Navier-Stokes equation is transformed into a symmetric system by change of the dependent variable. It is known that the Navier-Stokes equation can be transformed into a coupled system of a symmetric hyperbolic system and a symmetric strongly parabolic system, by changing the dependent variable from w t o u.
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UR - http://www.scopus.com/inward/citedby.url?scp=77956933294&partnerID=8YFLogxK
U2 - 10.1016/S0304-0208(08)70504-8
DO - 10.1016/S0304-0208(08)70504-8
M3 - Article
VL - 160
SP - 15
EP - 30
JO - North-Holland Mathematics Studies
JF - North-Holland Mathematics Studies
SN - 0304-0208
IS - C
ER -