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

Boundary vorticity of incompressible 2D flows

Giovanni Franzina
2024

Abstract

For a homogeneous incompressible 2D fluid confined within a bounded Lipschitz simply connected domain, homo- geneous Neumann pressure boundary conditions are equivalent to a constant boundary vorticity. We investigate the rigidity of such conditions.
2024
Istituto Applicazioni del Calcolo ''Mauro Picone''
Buckling load, Shape optimisation problems, Stokes flows, Isoperimetric inequalities
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/510416
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