无边界剪切流黏度驱动的不稳定性

IF 2.3 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-04-25 DOI:10.1016/j.matpur.2025.103724

Hui Li , Weiren Zhao

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引用次数: 0

摘要

本文研究了无边界区域中粘性耗散的不稳定性效应。我们构造了一个剪切流，它最初是谱稳定的，但在粘性耗散的影响下演变成谱不稳定状态。据我们所知，这是粘度驱动的不稳定性的第一个结果，而不是由边界引起的。

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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Viscosity driven instability of shear flows without boundaries

In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.