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.
|Number of pages||12|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|Publication status||Published - 2000|
ASJC Scopus subject areas
- Mathematics (all)