Boundary vorticity of incompressible 2D flows

Abstract 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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Journal
Zeitschrift für angewandte Mathematik und Physik
Published
2024-10-11
DOI
https://doi.org/10.1007/s00033-024-02335-3
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.00

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article

Boundary vorticity of incompressible 2D flows

Giovanni Franzina
Zeitschrift für angewandte Mathematik und Physik
Navier-Stokes equation solutions
article

Boundary vorticity of incompressible 2D flows

Giovanni Franzina
article en

Abstract

Abstract 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.

Zeitschrift für angewandte Mathematik und PhysikVol. 75(6)
Istituto per le Applicazioni del Calcolo Mauro Picone (IT)
Ministero dell'Università e della Ricerca
Openalex Percentile: Top 70%
Navier-Stokes equation solutions
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Boundary vorticity of incompressible 2D flows — Giovanni Franzina · Zeitschrift für angewandte Mathematik und Physik (2024) | TGRS Research Map | TGRS