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

Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer
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DOI：
10.2977/prims/1201012041
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发表时间：
2006-06
期刊：
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影响因子：
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通讯作者：
Y. Kagei;隠居 良行
Y. Kagei;隠居 良行
中科院分区：
其他
文献类型：
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作者：
Y. Kagei;隠居 良行

文献摘要

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在动量无滑移边界条件下，考虑了无穷层Rn −1 ×（0，a），n ≥ 2中线性化可压缩Navier-Stokes方程解在给定常值附近的渐近性态.对所有的1 ≤ p ≤∞，建立了相应半群的Lp衰减估计，证明了该半群的时间渐近前导部分由n − 1维热半群给出.
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 ≥ 2, under the no slip boundary condition for the momentum. The L p decay estimates of the associated semigroup are established for all 1 ≤ p ≤∞ .I t is also shown that the time-asymptotic leading part of the semigroup is given by an n − 1 dimensional heat semigroup.