2D Navier-Stokes system and no-slip boundary condition for vorticity in exterior domains

2021/06/29 by Alexey V. Gorshkov, Gorshkov, Alexey · 1 citation
Engineering · Mathematics · #76D07 (Primary) 33C10 (Secondary) #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2106.15291

openalex publication_date 2021/06/29 · openalex created_date 2021/07/05 · openalex updated_date 2026/07/28

Abstract

In this article we derive Biot-Savar law for exterior 2D domain. No-slip condition in terms of vorticity is expressed in integral form. For non-stationary fluid dynamics equations no-slip condition generates affine invariant manifold and no-slip integral relations on vorticity can be transferred to Robin-type boundary condition.

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