We consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount. Our approach is based on a rearrangement variational principle extensively developed by G. R. Burton.
|Number of pages
|International Journal of Mathematics and Mathematical Sciences
|Published - 2003
ASJC Scopus subject areas
- Mathematics (miscellaneous)