Steady vortex flows obtained from an inverse problem
Behrouz Emamizadeh, Fariba Bahrami · Bulletin of the Australian Mathematical Society · 2002
In this paper we prove the existence of solutions to an inverse semilinear elliptic partial differential equation. Physically, solutions represent stream functions of steady planar flows with bounded vortices. The kinetic energy functional is maximised over the set of rearrangements of a given function.