On Vanishing Viscosity with Inflow, Outflow
Analysis of PDEs
2025-06-24 v1
Abstract
We establish convergence as the viscosity vanishes of solutions of the Navier-Stokes equations to a solution of the Euler equations for inflow, outflow boundary conditions. We extend the approach of Temam and Wang 2002, allowing the tangential component on outflow to be nonzero.
Keywords
Cite
@article{arxiv.2506.17430,
title = {On Vanishing Viscosity with Inflow, Outflow},
author = {Michael A. Gulas and James P. Kelliher},
journal= {arXiv preprint arXiv:2506.17430},
year = {2025}
}
Comments
Version accepted for publication in Journal of Pure and Applied Functional Analysis