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.
|Number of pages
|International Journal of Mathematics and Mathematical Sciences
|Published - 2002
ASJC Scopus subject areas
- Mathematics (miscellaneous)