Attractors for three-dimensional Navier-Stokes equations

被引：7

作者：

Capinski, M ^{[1
]}

Cutland, NJ ^{[1
]}

机构：

[1] UNIV HULL, DEPT PURE MATH & STAT, KINGSTON UPON HULL HU6 7RX, N HUMBERSIDE, ENGLAND

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1997年 / 453卷 / 1966期

关键词：

D O I：

10.1098/rspa.1997.0129

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

For the three-dimensional Navier-Stokes equations we propose two new approaches to the notion of an attractor. They involve multi-valued semiflows constructed via the nonstandard framework used for solving the equations, where even in dimension three we have uniqueness of solution for the corresponding equation.

引用

页码：2413 / 2426

页数：14

共 50 条

[1] ATTRACTORS FOR THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DAMPING
Song, Xue-Li
Hou, Yan-Ren
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 (01) : 239 - 252
[2] Uniform attractors for three-dimensional Navier-Stokes equations with nonlinear damping
Song, Xue-li
Hou, Yan-ren
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 422 (01) : 337 - 351
[3] Global attractors for the Navier-Stokes equations of three-dimensional compressible flow
Feireisl, E
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (01): : 35 - 39
[4] GLOBAL ATTRACTORS FOR WEAK SOLUTIONS OF THE THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS WITH DAMPING
Pardo, Daniel
Valero, Jose
Gimenez, Angel
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (08): : 3569 - 3590
[5] Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force
Flandoli F.
Schmalfuß B.
Journal of Dynamics and Differential Equations, 1999, 11 (2) : 355 - 398
[6] Pullback D-attractors for three-dimensional Navier-Stokes equations with nonlinear damping
Song, Xue-li
Liang, Fei
Wu, Jian-hua
BOUNDARY VALUE PROBLEMS, 2016,
[7] Trajectory and global attractors of three-dimensional Navier-Stokes systems
Vishik, MI
Chepyzhov, VV
MATHEMATICAL NOTES, 2002, 71 (1-2) : 177 - 193
[8] Approximate controllability of three-dimensional Navier-Stokes equations
Shirikyan, Armen
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 266 (01) : 123 - 151
[9] Numerical solution of the three-dimensional Navier-Stokes equations
Jaberg, Helmut
Aktiengesellschaft), 1988, (24 e): : 20 - 32
[10] Hopf bifurcation of the three-dimensional Navier-Stokes equations
Chen, ZM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 237 (02) : 583 - 608

← 1 2 3 4 5 →