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

共 50 条

[41] The asymptotic behavior solutions to damped Navier-Stokes equations in unbounded domain
Xie, Qianqian
Jia, Yan
Zhang, Jing
2017 32ND YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION (YAC), 2017, : 357 - 360
[42] Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier-Stokes Equations
Duan, Yonghong
Chai, Xiaojuan
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2021, 2021
[43] Asymptotic behavior for strong solutions of the Navier-Stokes equations with external forces
Zheng, SM
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (04) : 435 - 446
[44] On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations
Hsia, Chun-Hsiung
Jung, Chang-Yeol
Thien Binh Nguyen
Shiue, Ming-Cheng
NUMERISCHE MATHEMATIK, 2017, 135 (02) : 607 - 638
[45] Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half space
Kagei, Y
Kobayashi, T
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2005, 177 (02) : 231 - 330
[46] On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations
Chun-Hsiung Hsia
Chang-Yeol Jung
Thien Binh Nguyen
Ming-Cheng Shiue
Numerische Mathematik, 2017, 135 : 607 - 638
[47] Asymptotic theory of localized solutions for Navier-Stokes equations with small viscosity
Maslov, VP
Shafarevich, AI
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1996, (06): : 16 - 18
[48] Asymptotic Behavior of Solutions of the Compressible Navier-Stokes Equations on the Half Space
Yoshiyuki Kagei
Takayuki Kobayashi
Archive for Rational Mechanics and Analysis, 2005, 177 : 231 - 330
[49] Exact and asymptotic conditions on traveling wave solutions of the Navier-Stokes equations
Li, Y. Charles
Viswanath, Divakar
PHYSICS OF FLUIDS, 2009, 21 (10)
[50] Conditions for asymptotic energy and enstrophy concentration in solutions to the Navier-Stokes equations
Skalak, Zdenek
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E2070 - E2081

← 1 2 3 4 5 →