ON ENERGY INEQUALITY, SMOOTHNESS AND LARGE TIME BEHAVIOR IN L2 FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN EXTERIOR DOMAINS

被引：86

作者：

MIYAKAWA, T ^{[1
]}

SOHR, H ^{[1
]}

机构：

[1] UNIV GESAMTHSCH PADERBORN,FACHBEREICH MATH,D-4790 PADERBORN,FED REP GER

来源：

MATHEMATISCHE ZEITSCHRIFT | 1988年 / 199卷 / 04期

关键词：

D O I：

10.1007/BF01161636

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：455 / 478

页数：24

共 25 条

[1] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].

AGMON, S ;

DOUGLIS, A ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) :35-&

[2]

BORCHERS W, L2 DECAY NAVIERSTOKE

[3]

Finn R., 1965, ARCH RATIONAL MECH A, V19, P363, DOI DOI 10.1007/BF00253485

[4]

Friedman A., 1969, PARTIAL DIFFERENTIAL

[5] MONOTONIC DECREASING AND ASYMPTOTIC-BEHAVIOR OF THE KINETIC-ENERGY FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN EXTERIOR DOMAINS [J].

GALDI, GP ;

MAREMONTI, P .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 94 (03) :253-266

[6] DOMAINS OF FRACTIONAL-POWERS OF THE STOKES OPERATOR IN L SPACES [J].

GIGA, Y .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 89 (03) :251-265

[7] SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN LP AND REGULARITY OF WEAK SOLUTIONS OF THE NAVIER-STOKES SYSTEM [J].

GIGA, Y .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 62 (02) :186-212

[8] ANALYTICITY OF THE SEMIGROUP GENERATED BY THE STOKES OPERATOR IN LR SPACES [J].

GIGA, Y .

MATHEMATISCHE ZEITSCHRIFT, 1981, 178 (03) :297-329

[9]

HEYWOOD JG, 1972, ACTA MATH-UPPSALA, V129, P11, DOI 10.1007/BF02392212

[10]

Kiselev A. A., 1957, AM MATH SOC TRANSL 2, V21, p[655, 79]

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