Nonlinear inviscid damping for a class of monotone shear flows in a finite channel | Annals of Mathematics

IF 8.3 2区材料科学 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY

ACS Applied Materials & Interfaces Pub Date : 2024-05-01 DOI:10.4007/annals.2024.199.3.3

Nader Masmoudi, Weiren Zhao

引用次数: 0

Abstract

We prove the nonlinear inviscid damping for a class of monotone shear flows in $\mathbb{T}\times [0,1]$ for initial perturbation in Gevrey-$\frac{1}{s}$ class ($1\lt \frac{1}{s}<2$) with compact support. The main new idea of the proof is to construct and use the wave operator of a slightly modified Rayleigh operator in a well-chosen coordinate system.

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有限通道中一类单调剪切流的非线性不粘性阻尼 | 数学年鉴

我们证明了一类单调剪切流在$\mathbb{T}\times [0,1]$中的非线性不粘性阻尼，其初始扰动为Gevrey-$\frac{1}{s}$类（$1\lt \frac{1}{s}<2$），具有紧凑支撑。证明的主要新思想是在一个精心选择的坐标系中构造并使用一个略微修正的瑞利算子的波算子。

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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来源期刊

ACS Applied Materials & Interfaces 工程技术-材料科学：综合

CiteScore

16.00

自引率

6.30%

发文量

4978

审稿时长

1.8 months

期刊介绍： ACS Applied Materials & Interfaces is a leading interdisciplinary journal that brings together chemists, engineers, physicists, and biologists to explore the development and utilization of newly-discovered materials and interfacial processes for specific applications. Our journal has experienced remarkable growth since its establishment in 2009, both in terms of the number of articles published and the impact of the research showcased. We are proud to foster a truly global community, with the majority of published articles originating from outside the United States, reflecting the rapid growth of applied research worldwide.