No-slip boundary condition for vorticity equation in 2D exterior domains
Aleksei Gorshkov
TL;DR
This paper derives a no-slip boundary condition for the non-stationary vorticity equation in 2D exterior domains, enabling the transfer of vorticity relations to Robin-type boundary conditions.
Contribution
It introduces a novel no-slip boundary condition for the vorticity equation, linking affine invariant manifolds to Robin-type boundary conditions.
Findings
Derived the no-slip boundary condition for vorticity in 2D exterior domains
Established the connection between vorticity relations and Robin boundary conditions
Provided a framework for boundary condition transfer in vorticity equations
Abstract
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.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Computational Fluid Dynamics and Aerodynamics