On Vanishing Viscosity with Inflow, Outflow

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.

Publication Details

Journal
ArXiv.org
Published
2025-06-20
Primary Topic
Navier-Stokes equation solutions
Type
article
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article

On Vanishing Viscosity with Inflow, Outflow

ArXiv.org
Navier-Stokes equation solutions
article

On Vanishing Viscosity with Inflow, Outflow

article en

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.

ArXiv.org
Openalex Percentile: Top 40%
Navier-Stokes equation solutions
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On Vanishing Viscosity with Inflow, Outflow · ArXiv.org (2025) | TGRS Research Map | TGRS