A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces

被引：1

作者：

Zhu, Xiang'ou ^{[1
,2
]}

机构：

[1] Wenzhou Univ, Coll Phys & Elect Informat Engn, Wenzhou 325035, Zhejiang, Peoples R China

[2] Key Lab Low Voltage Apparat Intellectual Technol, Wenzhou 325035, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

WEAK SOLUTIONS; SCHRODINGER OPERATOR; PRESSURE; TERMS; BOUNDEDNESS;

D O I：

10.1155/2012/682436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to L-2/(2 r) ((0, T); M(H-r (R-3) -> H-r (R-3))), where M(H-r (R-3) -> H-r (R-3)) is the multipliers between Sobolev spaces whose definition is given later for 0 < r < 1, then the Leray-Hopf weak solution to the Navier-Stokes equations is actually regular.

引用

页数：7

共 33 条

[21]

SERRIN J, 1962, ARCH RATION MECH AN, V9, P187

[22] ON THE REGULARITY OF THE PRESSURE OF WEAK SOLUTIONS OF NAVIER-STOKES EQUATIONS [J].

SOHR, H ;

VONWAHL, W .

ARCHIV DER MATHEMATIK, 1986, 46 (05) :428-439

[23]

Sohr H., 2001, Birkhauser Advanced Texts Basler Lehrbucher, DOI DOI 10.1007/978-3-0348-0551-3

[24] ON PARTIAL REGULARITY RESULTS FOR THE NAVIER-STOKES EQUATIONS [J].

STRUWE, M .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (04) :437-458

[25] On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure [J].

Struwe, Michael .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2007, 9 (02) :235-242

[26] A new regularity criterion for weak solutions to the Navier-Stokes equations [J].

Zhou, Y .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2005, 84 (11) :1496-1514

[27] On regularity criteria in terms of pressure for the Navier-Stokes equations in R3 [J].

Zhou, Y .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (01) :149-156

[28] A new regularity criterion for the navier-stokes equations in terms of the direction of vorticity [J].

Zhou, Y .

MONATSHEFTE FUR MATHEMATIK, 2005, 144 (03) :251-257

[29] Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain [J].

Zhou, Y .

MATHEMATISCHE ANNALEN, 2004, 328 (1-2) :173-192

[30]

Zhou Y, 2006, Z ANGEW MATH PHYS, V57, P384, DOI 10.1007/s00033-005-0021-x

← 1 2 3 4 →