English

Boundary vorticity of incompressible 2D flows

Analysis of PDEs 2024-06-04 v1

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.

Keywords

Cite

@article{arxiv.2406.01351,
  title  = {Boundary vorticity of incompressible 2D flows},
  author = {Giovanni Franzina},
  journal= {arXiv preprint arXiv:2406.01351},
  year   = {2024}
}
R2 v1 2026-06-28T16:51:10.621Z