International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 5, Pages 283-300
doi:10.1155/S0161171202008098
Steady vortex flows obtained from a constrained variational problem
B. Emamizadeh
and M.H. Mehrabi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
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.