Abstract
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.
Original language | English |
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Pages (from-to) | 213-226 |
Number of pages | 14 |
Journal | Bulletin of the Australian Mathematical Society |
Volume | 66 |
Issue number | 2 |
DOIs | |
Publication status | Published - Oct 2002 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics