Steady vortex in a uniform shear flow of an ideal fluid

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14 Citations (Scopus)


This paper is concerned with the existence of maximizers for a certain non-convex energy functional, relative to a class of rearrangements of a given function. Physically, the solution represents a uniform shear flow containing a bounded vortex anomaly, in ℝ2. The prescribed data are the rearrangement class of the vorticity field.

Original languageEnglish
Pages (from-to)801-812
Number of pages12
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Issue number4
Publication statusPublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)


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