Abstract
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 language | English |
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Pages (from-to) | 801-812 |
Number of pages | 12 |
Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
Volume | 130 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2000 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
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Emamizadeh, B. (2000). Steady vortex in a uniform shear flow of an ideal fluid. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 130(4), 801-812. https://doi.org/10.1017/s0308210500000433