A constrained variational problem for steady vortices in a shear flow

G. R. Burton, B. Emamizadeh

Research output: Journal PublicationArticlepeer-review

10 Citations (Scopus)

Abstract

We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in ℝ2. Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribed function, and subject to a linear pseudo-impulse constraint.

Original languageEnglish
Pages (from-to)1341-1365
Number of pages25
JournalCommunications in Partial Differential Equations
Volume24
Issue number7-8
DOIs
Publication statusPublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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