Asymptotic Expansions for the Lagrangian Trajectories from Solutions of the Navier-Stokes Equations

被引：5
|
作者：
Hoang, Luan [1 ]
机构：
[1] Texas Tech Univ, Dept Math & Stat, 1108 Mem Circle, Lubbock, TX 79409 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2021年 / 383卷 / 02期
关键词：
NORMAL-FORM; ANALYTICITY; INTEGRATION; SMOOTHNESS; REGULARITY; POINCARE;
D O I：
10.1007/s00220-020-03863-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Consider any Leray-Hopf weak solution of the three-dimensional Navier-Stokes equations for incompressible, viscous fluid flows. We prove that any Lagrangian trajectory associated with such a velocity field has an asymptotic expansion, as time tends to infinity, which describes its long-time behavior very precisely.
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页码：981 / 995
页数：15
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