The steady Prandtl boundary layer expansions for non-shear Euler flow-Reference-Cited by-同舟云学术

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

Published:2024-07-01 Issue:7 Volume:65 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Gao Chen¹^ORCID,Zhang Liqun²^ORCID

Affiliation:

1. The Institute of Mathematical Sciences, The Chinese University of Hong Kong 1 , Shatin, NT, Hong Kong

2. Hua Loo-Keng Key Laboratory of Mathematics, Institute of Mathematics, AMSS, and School of Mathematical Sciences, UCAS 2 , Beijing 100190, China

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.

Funder

National Natural Science Foundation of China

Publisher

AIP Publishing

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0192671/20037973/071504_1_5.0192671.pdf

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