ON SOME CLASSES OF TIME-PERIODIC SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE

被引：13

作者：

Lemarie-Rieusset, Pierre Gilles ^{[1
]}

机构：

[1] Univ Evry, UMR CNRS 8071, Lab Math & Modelisat Evry, F-91037 Evry, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2015年 / 47卷 / 02期

关键词：

Navier-Stokes equations; periodic solutions; maximal functions; WELL-POSEDNESS; EXISTENCE; STABILITY;

D O I：

10.1137/130947805

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the three-dimensional Navier-Stokes problem on the whole space, we study the existence, regularity, and stability of time-periodic solutions in Lebesgue, Lorentz, or Sobolev spaces, when the periodic forcing belongs to critical classes of forces.

引用

页码：1022 / 1043

页数：22

共 50 条

[21] CONCERNING TIME-PERIODIC SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN CYLINDRICAL DOMAINS UNDER NAVIER BOUNDARY CONDITIONS
da Veiga, H. Beira
[J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2006, 19 (04): : 369 - 376
[22] Time periodic solutions of compressible Navier-Stokes equations
Ma, Hongfang
Ukai, Seiji
Yang, Tong
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (09) : 2275 - 2293
[23] PERIODIC SOLUTIONS AND THEIR STABILITY TO THE NAVIER-STOKES EQUATIONS ON A HALF SPACE
Hieber, Matthias
Nguyen, Thieu Huy
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 1899 - 1910
[24] Existence of time-periodic weak solutions to the stochastic Navier-Stokes equations around a moving body
Chen, Feng
Han, Yuecai
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (12)
[25] Navier-Stokes equations in aperture domains: Global existence with bounded flux and time-periodic solutions
Crispo, Francesca
Maremonti, Paolo
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (03) : 249 - 277
[26] ON THE SUITABLE WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE
DAVEIGA, HB
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1985, 64 (01): : 77 - 86
[27] On pointwise decay rates of time-periodic solutions to the Navier-Stokes equation
Nakatsuka, Tomoyuki
[J]. MATHEMATISCHE NACHRICHTEN, 2021, 294 (01) : 98 - 117
[28] Estimates of Time-Periodic Fundamental Solutions to the Linearized Navier–Stokes Equations
Thomas Eiter
Mads Kyed
[J]. Journal of Mathematical Fluid Mechanics, 2018, 20 : 517 - 529
[29] Time-Periodic Solutions of the Navier-Stokes Equations in Unbounded Cylindrical Domains – Leray's Problem for Periodic Flows
H. Beirão da Veiga
[J]. Archive for Rational Mechanics and Analysis, 2005, 178 : 301 - 325
[30] Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains - Leray's problem for periodic flows
Da Veiga, HB
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2005, 178 (03) : 301 - 325

← 1 2 3 4 5 →