“School of Mathematics”
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| Paper IPM / M / 2324 |
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In This note 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
represent 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.
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