English

On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions

Analysis of PDEs 2019-11-01 v1

Abstract

This paper is concerned with the study of the behavior of the free boundary for a class of solutions to a one-phase Bernoulli free boundary problem with mixed periodic-Dirichlet boundary conditions. It is shown that if the free boundary of a symmetric local minimizer approaches the point where the two different conditions meet, then it must do so at an angle of π/2\pi/2

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Cite

@article{arxiv.1910.14643,
  title  = {On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions},
  author = {Giovanni Gravina and Giovanni Leoni},
  journal= {arXiv preprint arXiv:1910.14643},
  year   = {2019}
}

Comments

28 pages, 3 figures