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

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