非自治奥森-纳维尔-斯托克斯流的几乎周期运动及其稳定性

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-09-03 DOI:10.1007/s00013-024-02044-3

Ngoc Huy Nguyen, Thieu Huy Nguyen, Thi Ngoc Ha Vu

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引用次数: 0

摘要

在本文中，我们研究了在几乎周期性外力作用下，刚体外部域 \(\Omega \subset \mathbb {R}^3\) 中的非自治奥森-纳维尔-斯托克斯方程（ONSE）的几乎周期性温和解的存在性和稳定性。我们的方法基于线性化方程对应的演化族的（L^p-L^q）平滑性，并结合插值空间和定点定理。

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Almost periodic motions and their stability of the non-autonomous Oseen–Navier–Stokes flows

In this paper, we investigate the existence and stability of almost periodic mild solutions to the non-autonomous Oseen–Navier–Stokes equations (ONSE) in the exterior domain \(\Omega \subset \mathbb {R}^3\) of a rigid body under the actions of almost periodic external forces. Our method is based on the \(L^p-L^q\) smoothness of the evolution family corresponding to linearized equations in combination with interpolation spaces and fixed point theorems.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.