静态纳维-斯托克斯方程的渐近行为

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-10-18 DOI:10.1016/j.jde.2024.10.011

Yupei Li, Wei Luo

引用次数: 0

摘要

本文研究了轴对称静止纳维-斯托克斯方程解的渐近行为。我们假设流动在 x3 方向上是周期性的，并且没有漩涡。在一般的可整性条件下，我们证明了涡度 ω 的点式衰减估计值，并得到了 Liouville 型定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic behavior for stationary Navier-Stokes equations

In this paper, we investigate the asymptotic behavior of solutions to the axisymmetric stationary Navier-Stokes equations. We assume that the flow is periodic in

x_{3}

-direction and has no swirl. Under the general integrability condition, we prove the pointwise decay estimate of the vorticity ω and obtain the Liouville-type theorem.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics