On the spatially asymptotic structure of time-periodic solutions to the Navier–Stokes equations,Proceedings of the American Mathematical Society

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On the spatially asymptotic structure of time-periodic solutions to the Navier–Stokes equations
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-05-12 , DOI: 10.1090/proc/15482
Thomas Eiter

Abstract:The asymptotic behavior of weak time-periodic solutions to the Navier–Stokes equations with a drift term in the three-dimensional whole space is investigated. The velocity field is decomposed into a time-independent and a remaining part, and separate asymptotic expansions are derived for both parts and their gradients. One observes that the behavior at spatial infinity is determined by the corresponding Oseen fundamental solutions.

中文翻译：

纳维-斯托克斯方程时间周期解的空间渐近结构

摘要：研究了具有漂移项的 Navier-Stokes 方程弱时间周期解在三维全空间中的渐近行为。速度场被分解成一个与时间无关的部分和一个剩余部分，并且分别为这两个部分及其梯度导出渐近展开式。人们观察到空间无穷远的行为由相应的 Oseen 基本解决定。

更新日期：2021-06-04

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