THERMAL SCIENCE

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Yong-Zheng Li

,

Le-Ming Huang

,

Ke-Long Zheng

ON THE INVISCID LIMIT OF THE INHOMOGENEOUS NAVIER-STOKES EQUATIONS IN THE HALF SPACE

ABSTRACT
In this paper, we consider the convergence in L2 norm, uniformly in time of the inhomogeneous Navier-Stokes system and inhomogeneous Euler equations. Upon the assumption of the Oleinick conditions of no back-flow in the trace of the Euler flow, and of a lower bound for the Navier-Stokes vorticity in a Kato-like boundary-layer, we prove that the inviscid limit holds.
KEYWORDS
inhomogeneous Navier-Stokes equations, boundary-layer, inhomogeneous Euler equations, inviscid limit
PAPER SUBMITTED: 2024-06-01
PAPER REVISED: 2024-07-20
PAPER ACCEPTED: 2024-07-29
PUBLISHED ONLINE: 2025-05-03
DOI REFERENCE: https://doi.org/10.2298/TSCI2502055L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 2, PAGES [1055 - 1062]
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On the inviscid limit of the inhomogeneous Navier-Stokes equations in the half space

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence