Boundary vorticity of incompressible 2D flows: Boundary vorticity of incompressible 2D flows

For a homogeneous incompressible 2D fluid confined within a bounded Lipschitz simply connected domain, homogeneous Neumann pressure boundary conditions are equivalent to a constant boundary vorticity. We investigate the rigidity of such conditions.

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2024-12, Vol.75 (6), Article 198
Main Author: Franzina, Giovanni
Format: Article
Language:English
Subjects:
Boundary conditions
Engineering
Fluid flow
Incompressible flow
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Two dimensional flow
Vorticity
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Description
Summary:For a homogeneous incompressible 2D fluid confined within a bounded Lipschitz simply connected domain, homogeneous Neumann pressure boundary conditions are equivalent to a constant boundary vorticity. We investigate the rigidity of such conditions.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-024-02335-3