Large Time Behavior of Solutions to the 3D Rotating Navier-Stokes Equations

被引：4

作者：

Egashira, Takanari ^{[1
]}

Takada, Ryo ^{[2
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka 8190395, Japan

[2] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

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

关键词：

The incompressible Navier-Stokes equations; The Coriolis force; Temporal decay estimates; Large time behaviors; WEAK SOLUTIONS; CORIOLIS-FORCE; DECAY; REGULARITY; SPACES; EULER;

D O I：

10.1007/s00021-023-00767-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the large time behavior of the solutions for the initial value problem of the Navier-Stokes equations with the Coriolis force in the three-dimensional whole space. We show the L-p temporal decay estimates with the dispersion effect of the Coriolis force for the global solutions. Moreover, we prove the large time asymptotic expansion of the solutions behaving like the first-order spatial derivatives of the integral kernel of the corresponding linear solution.

引用

页数：31

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