Abstract
We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.
Original language | English |
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Pages (from-to) | 283-300 |
Number of pages | 18 |
Journal | International Journal of Mathematics and Mathematical Sciences |
Volume | 30 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2002 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics (miscellaneous)
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Emamizadeh, B., & Mehrabi, M. H. (2002). Steady vortex flows obtained from a constrained variational problem. International Journal of Mathematics and Mathematical Sciences, 30(5), 283-300. https://doi.org/10.1155/S0161171202008098