The steady Prandtl boundary layer expansions for non-shear Euler flow

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-07-10 DOI:10.1063/5.0192671

Chen Gao, Liqun Zhang

引用次数: 0

Abstract

We continue the study on the validity of the Prandtl boundary layer expansions in [Gao et al., Sci. China Math. 66, 679–722 (2023)], whereby estimating the stream-function of the remainder, we proved the case when the Euler flow is the perturbation of shear flow in a narrow domain. In this paper, we obtain a new derivatives estimate of stream-function away from the boundary layer and then prove the validity of expansions for any non-shear Euler flow, provided that the width of the domain is small.

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非剪切欧拉流的稳定普朗特边界层扩展

我们延续了[高志强等，中国科学，数学，66，679-722 (2023)]中对普朗特边界层展开有效性的研究，通过对余数流函数的估计，证明了当欧拉流是窄域中剪切流的扰动时的情况。在本文中，我们得到了远离边界层的流函数的新导数估计，然后证明了只要域宽较小，任何非剪切欧拉流的展开的有效性。

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

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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