ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATION IN A CYLINDRICAL DOMAIN

被引：1

作者：

Kagei, Yoshiyuki ^{[1
]}

Nukumizu, Takumi ^{[2
]}

机构：

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

[2] Nihon Jyoho Create Co Ltd, Miyazaki 8850001, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2008年 / 45卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 L-2 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.

引用

页码：987 / 1026

页数：40

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