Coriolis effect on temporal decay rates of global solutions to the fractional Navier-Stokes equations

被引：6

作者：

Ahn, Jaewook ^{[1
]}

Kim, Junha ^{[2
]}

Lee, Jihoon ^{[2
]}

机构：

[1] Dongguk Univ, Dept Math, Seoul 04620, South Korea

[2] Chung Ang Univ, Dept Math, Seoul 06974, South Korea

来源：

MATHEMATISCHE ANNALEN | 2022年 / 383卷 / 1-2期

关键词：

EULER EQUATIONS; WELL-POSEDNESS; REGULARITY; SOLVABILITY; SOLIDS; MOTION;

D O I：

10.1007/s00208-020-02122-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The incompressible fractional Navier-Stokes equations in the rotational framework is considered. We establish the global existence result and temporal decay estimate for a unique smooth solution when the speed of rotation is sufficiently rapid. It is found that the strong rotational effect enhances the temporal decay rate of a certain norm of the velocity.

引用

页码：259 / 289

页数：31

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