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

被引：13

作者：

Kagei, Yoshiyuki ^{[1
]}

机构：

[1] Kyushu Univ, Fac Math, Fukuoka 8128581, Japan

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2007年 / 43卷 / 03期

关键词：

D O I：

10.2977/prims/1201012041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Asymptotic behavior of solutions to the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer Rn-1 x (0,alpha), n >= 2, under the no slip boundary condition for the momentum. The LP decay estimates of the associated semigroup are established for all 1 <= p <= infinity. It is also shown that the time-asymptotic leading part of the sernigroup is given by an n - 1 dimensional heat semigroup.

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页码：763 / 794

页数：32

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