THERMAL SCIENCE

International Scientific Journal

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 No. 2, PAGES [1055 - 1062]
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On the inviscid limit of the inhomogeneous Navier-Stokes equations in the half space

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