GLOBAL REGULARITY OF THE 2D STEADY COMPRESSIBLE PRANDTL EQUATIONS

YONGHUI ZOU; HAITAO CUI

doi:10.22541/au.167214847.72609500/v1

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GLOBAL REGULARITY OF THE 2D STEADY COMPRESSIBLE PRANDTL EQUATIONS

YONGHUI ZOU,
HAITAO CUI

Abstract

In this paper, motivated by [Y. Wang and Z. Zhang, Ann. Inst. H. Poincaré C Anal. Non Linéaire, 38(2021), 1989-2004], we study the global C ∞ regularity of the two-dimensional steady compressible Prandtl equations in the case of the favorable pressure gradient. The proof is based on the maximum principle and interior a priori estimates.

27 Dec 2022Submitted to Mathematical Methods in the Applied Sciences

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27 Dec 2022Assigned to Editor

27 Dec 2022Submission Checks Completed

03 Jan 2023Review(s) Completed, Editorial Evaluation Pending

04 Apr 2023Reviewer(s) Assigned

Abstract

Peer review status:UNDER REVIEW