Work

On the inviscid limit of the inhomogeneous Navier-Stokes equations in the half space

Year: 2025

Type: article

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.

Source: Thermal Science

DOI: 10.2298/tsci2502055l

Authors: Yong-Zheng Li, Le-Ming Huang, Ke-Long Zheng

Institution: Civil Aviation Flight University of China

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $161

Funder: Fundamental Research Funds for the Central Universities