On the inviscid limit of the inhomogeneous Navier-Stokes equations in the half space
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.
Authors
- Yongzheng Li (ORCID: https://orcid.org/0000-0002-8600-0639)
- Kelong Zheng
- Le-Ming Huang
Institutions
- Civil Aviation Flight University of China (CN)
Publication Details
- Journal
- Thermal Science
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/tsci2502055l
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundamental Research Funds for the Central Universities