Weighted estimate of the asymptotic profiles of the Navier-Stokes flow in Rn

被引：7

作者：

Choe, Hi Jun ^{[2
]}

Jin, Bum Ja ^{[1
]}

机构：

[1] Mokpo Natl Univ, Dept Math, Muan, South Korea

[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 01期

关键词：

Navier-Stokes; asymptotic profiles;

D O I：

10.1016/j.jmaa.2008.02.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic profiles of the Navier-Stokes flow and the weighted estimate of the spatial and temporal decay rate of the error term. This paper extends the result of Y Fujigaki and T. Miyakawa in [Y Fujigaki, T. Miyakawa, Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space, SIAM J. Math. Anal. :33 (3) (2001) 523-544], where they derived the asymptotic profiles of the Navier-Stokes flow and estimated the temporal decay rate of the error term. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：353 / 366

页数：14

共 10 条

[1] New asymptotic profiles of nonstationary solutions of the Navier-Stokes system [J].

Brandolese, Lorenzo ;

Vigneron, Francois .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 88 (01) :64-86

[2] Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space [J].

Fujigaki, Y ;

Miyakawa, T .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2001, 33 (03) :523-544

[3] STRONG LP-SOLUTIONS OF THE NAVIER-STOKES EQUATION IN RM, WITH APPLICATIONS TO WEAK SOLUTIONS [J].

KATO, T .

MATHEMATISCHE ZEITSCHRIFT, 1984, 187 (04) :471-480

[4]

Miyakawa T., 2000, FUNKC EKVACIOJ-SER I, V43, P541

[5]

Miyakawa T., 1998, FUNKC EKVACIOJ-SER I, V41, P383

[6]

MIYAKAWA T., 2001, Math. Bohem., V126, P443

[7]

Rosenbloom P.C., 1959, Trans. Amer. Math. Soc., V92, P220, DOI DOI 10.1090/S0002-9947-1959-0107118-2

[8]

Schonbek M., 1991, J. Amer. Math. Soc., V4, P423, DOI 10.2307/2939262

[9] A weighted equation approach to decay rate estimates for the Navier-Stokes equations [J].

Takahashi, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (06) :751-789

[10]

Widder D.V., 1961, ANN MAT PURA APPL SE, V55, P389

← 1 →