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.

引用

页码：981 / 995

页数：15

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