We discuss the existence of equilibrium configurations for theHamiltonian point-vortex model on a closed surface 6. The topological properties of 6 determine the occurrence of three distinct situations, corresponding to S2, to RP2 and to 6 6= S2,RP2. As a by-product, we also obtain new existence results for the singular mean-field equation with exponential nonlinearity.
D'Aprile, T.c., Esposito, P. (2017). Equilibria of point-vortices on closed surfaces. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, XVII(1), 287-321 [10.2422/2036-2145.201504_010].
Equilibria of point-vortices on closed surfaces
D'APRILE, TERESA CARMEN;
2017-01-01
Abstract
We discuss the existence of equilibrium configurations for theHamiltonian point-vortex model on a closed surface 6. The topological properties of 6 determine the occurrence of three distinct situations, corresponding to S2, to RP2 and to 6 6= S2,RP2. As a by-product, we also obtain new existence results for the singular mean-field equation with exponential nonlinearity.File in questo prodotto:
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