The decay rates of strong solutions for Navier-Stokes equations

被引：9

作者：

He, C ^{[1
]}

Hsiao, L ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 268卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; decay rates;

D O I：

10.1006/jmaa.2000.7147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the Navier-Stokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equation. (C) 2002 Elsevier Science (USA).

引用

页码：417 / 425

页数：9

共 7 条

[1]

DAVEIGA HB, 1987, INDIANA U MATH J, V36, P149

[2] INITIAL VALUE-PROBLEM FOR NAVIER-STOKES EQUATIONS WITH DATA IN LP [J].

FABES, EB ;

JONES, BF ;

RIVIERE, NM .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1972, 45 (03) :222-&

[3] The Cauchy problem for Navier-Stokes equations [J].

He, C .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 209 (01) :228-242

[4] 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

[5]

Ladyzhenskaya O. A., 1969, MATH THEORY VISCOUS

[6] LARGE TIME BEHAVIOR OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN H-M SPACES [J].

SCHONBEK, ME .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (1-2) :103-117

[7]

Temam R., 1977, NAVIER STOKES EQUATI

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