Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain

Yoshiyuki Kagei, Takumi Nukumizu

研究成果: ジャーナルへの寄稿記事

11 引用 (Scopus)

抄録

Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a given constant state is investigated on a cylindrical domain in R 3, under the no slip boundary condition for the velocity field. The L2 decay estimate is established for the perturbation from the constant state. It is also shown that the time-asymptotic leading part of the perturbation is given by a function satisfying a 1 dimensional heat equation. The proof is based on an energy method and asymptotic analysis for the associated linearized semigroup.

元の言語英語
ページ(範囲)987-1026
ページ数40
ジャーナルOsaka Journal of Mathematics
45
発行部数4
出版物ステータス出版済み - 12 2008

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Compressible Navier-Stokes Equations
Asymptotic Behavior of Solutions
Perturbation
Slip Boundary Condition
Decay Estimates
Energy Method
Asymptotic Analysis
Heat Equation
Velocity Field
Semigroup

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain. / Kagei, Yoshiyuki; Nukumizu, Takumi.

:: Osaka Journal of Mathematics, 巻 45, 番号 4, 12.2008, p. 987-1026.

研究成果: ジャーナルへの寄稿記事

Kagei, Yoshiyuki ; Nukumizu, Takumi. / Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain. :: Osaka Journal of Mathematics. 2008 ; 巻 45, 番号 4. pp. 987-1026.
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