부산대학교 도서관

Pointed vortex loops are defined as 2D vortex loops (vorticity distributions supported by loops in the plane) onto which a finite number of point vortices (vorticity distributions supported by isolated points) are superposed. The time evolution of such vorticity distributions is determined by advection by its induced divergence-less velocity field. This paper studies the diffeomorphism group determined by the flow of such velocity field from the point of view of Hamiltonian mechanics and symplectic geometry, focusing on geometric invariants and polarization subgroups preserving the vortex loops.