No-slip boundary condition for vorticity equation in 2D exterior domain

DOI10.1007/s00021-023-00795-7zbMath1524.76124arXiv2209.11188OpenAlexW4377121543MaRDI QIDQ6161775

Alexey V. Gorshkov

Publication date: 5 June 2023

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.11188

zbMATH Keywords

vorticityexterior domainHelmholtz equationboundary conditionNavier-Stokes systemBiot-Savar law

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General topics in linear spectral theory for PDEs (35P05) Stokes and related (Oseen, etc.) flows (76D07) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous vortex flows (76D17)

Cites Work

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• Associated Weber-Orr transform, Biot-Savart law and explicit form of the solution of 2D Stokes system in exterior of the disc
• Infinite energy solutions for damped Navier-Stokes equations in \({\mathbb{R}^2}\)
• Natural vorticity boundary conditions on solid walls
• Formulation of boundary conditions for vorticity in viscous incompressible flow problems
• On Singular Integrals
• Uniqueness for the 2-D Euler equations on domains with corners

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