No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain

被引：0

作者：

Aleksei Gorshkov

机构：

[1] Lomonosov Moscow State University,Faculty of Mechanics and Mathematics

来源：

Journal of Mathematical Fluid Mechanics | 2023年 / 25卷

关键词：

Navier–Stokes system; Helmholtz equation; Boundary condition; Vorticity; Biot–Savar law; Exterior domain; 76D03; 76D05; 76D17; 76D07; 35P05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article we derive the no-slip boundary condition for a non-stationary vorticity equation. This condition generates the affine invariant manifold and no-slip integral relations on vorticity can be transferred to a Robin-type boundary condition. This condition leads to the appearance of the non-trivial kernel in Laplace operator and as result it causes the presence of the stationary solution of linearised equation. The no-slip condition causes an orthogonality of the flow to this kernel which is consistent with the Stokes Paradox.

引用

共 50 条

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JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2023, 25 (03)
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