On the Stability of Steady-State Solutions to the Navier-Stokes Equations in the Whole Space

被引：1

作者：

Galdi, Giovanni P. ^{[2
]}

Maremonti, P. ^{[1
]}

机构：

[1] Univ Campania L Vanvitelli, Dept Math, Caserta, Italy

[2] Univ Pittsburgh, Dept Mech Engn & Mat Sci, Pittsburgh, PA USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2023年 / 25卷 / 01期

关键词：

CONVOLUTION; DECAY;

D O I：

10.1007/s00021-022-00748-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove asymptotic stability of steady-state solutions to the Navier-Stokes equations in the whole space. One of the novelties of this work consists in considering perturbations that show a distinct pointwise behavior (in space and time) and correspond to initial data only belonging to suitable weighted Lebesgue spaces.

引用

页数：17

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