Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer - Collections

＜preprint＞
Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer

Creator	Author PID K001311 Creator Name Kagei, Yoshiyuki 隠居, 良行 Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学数理学研究院
Language	English
Date	2006-06-08
Source Title	MHF Preprint Series
Vol	2006-23
Publication Type	Author's Original
Access Rights	open access
Related DOI	MHF Preprint Series \|\| 2006-23 \|\| p1-27
Related DOI	http://www.math.kyushu-u.ac.jp/~kagei/paper.htm
Related URI	MHF Preprint Series \|\| 2006-23 \|\| p1-27
Related URI	http://www.math.kyushu-u.ac.jp/~kagei/paper.htm
Relation	MHF Preprint Series \|\| 2006-23 \|\| p1-27
Relation	http://www.math.kyushu-u.ac.jp/~kagei/paper.htm
Abstract	Asymptotic behavior of solutions to the linearized compressible Navier- Stokes equation around a given constant state is considered in an infinite layer $R^{n−1} × (0, a), n geqq 2$, under the no slip... boundary condition for the momentum. The $L^p$ decay estimates of the associated semigroup are established for all $1 leqq p leqq ∞$. It is also shown that the time-asymptotic leading part of the semigroup is given by an $n − 1$ dimensional heat semigroup.show more

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