Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations

被引：0

作者：

Berselli, LC ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat L Tonelli, I-56127 Pisa, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1999年 / 22卷 / 13期

关键词：

Navier-Stokes equations; regularity; weak solutions;

D O I：

10.1002/(SICI)1099-1476(19990910)22:13<1079::AID-MMA71>3.0.CO;2-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we find sufficient conditions, involving only the pressure, that ensure the regularity of weak solutions to the Navier-Stokes equations. Conditions involving only the pressure were previously obtained in [7, 4]. Following a remark in this last reference we improve, in particular, Kaniel's result [7]. Our condition can be seen at the light of the heuristic idea that the pressure behaves similarly to the modulus squared of the velocity. Copyright (C) 1999 John Wiley & Sons, Ltd.

引用

页码：1079 / 1085

页数：7

共 50 条

[1] New sufficient conditions of local regularity for solutions to the Navier-Stokes equations
Mahalov, A.
Nicolaenko, B.
Seregin, G.
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2008, 10 (01) : 106 - 125
[2] ON THE REGULARITY OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Pata, Vittorino
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (02) : 747 - 761
[3] Regularity of solutions to the Navier-Stokes equations
Shananin, NA
[J]. MATHEMATICAL NOTES, 1996, 59 (5-6) : 574 - 578
[4] On the regularity of solutions to the Navier-Stokes equations
Lewalle, J
[J]. IUTAM SYMPOSIUM ON REYNOLDS NUMBER SCALING IN TURBULENT FLOW, 2004, 74 : 241 - 244
[5] ON REGULARITY OF SOLUTIONS OF NAVIER-STOKES EQUATIONS
DYER, RH
EDMUNDS, DE
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1969, 44 (173P): : 93 - &
[6] A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations
Seregin, G.
Zajaczkowski, W.
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 39 (02) : 669 - 685
[7] A Sufficient Condition on the Pressure for the Regularity of Weak Solutions to the Navier-Stokes Equations
da Veiga, Hugo Beirao
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2000, 2 (02) : 99 - 106
[8] New Sufficient Conditions of Local Regularity for Solutions to the Navier–Stokes Equations
A. Mahalov
B. Nicolaenko
G. Seregin
[J]. Journal of Mathematical Fluid Mechanics, 2008, 10 : 106 - 125
[9] Sufficient condition of local regularity for the Navier-Stokes equations
Zajaczkowski W.
Seregin G.A.
[J]. Journal of Mathematical Sciences, 2007, 143 (2) : 2869 - 2874
[10] On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Chae, D
Lee, J
[J]. MATHEMATISCHE ZEITSCHRIFT, 2002, 239 (04) : 645 - 671

← 1 2 3 4 5 →