Steiner symmetric vortices attached to seamounts

B. Emamizadeh, F. Bahrami, M. H. Mehrabi

Research output: Journal PublicationArticlepeer-review

Abstract

We prove existence of Steiner symmetric maximizers for a constrained variational problem in ℝ2. Solutions represent steady geophysical flows over a surface of variable height. The kinetic energy is maximized with respect to the set formed by intersecting a set of rearrangements of a given function with an affine subspace of codimension one.

Original languageEnglish
Pages (from-to)663-674
Number of pages12
JournalCommunications on Pure and Applied Analysis
Volume3
Issue number4
DOIs
Publication statusPublished - Sep 2004
Externally publishedYes

Keywords

  • Barotropic vorticity equation
  • Rearrangements
  • Semilinear elliptic equation
  • Steiner symmetrization
  • Variational problems
  • Vortices

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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