79 citations · 638 across the 61 of their papers we have counts for
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math-ph2020★ 1 cited
Integrability of point-vortex dynamics via symplectic reduction: a survey
Klas Modin, Milo Viviani
Point-vortex dynamics describe idealized, non-smooth solutions to the incompressible Euler equations on 2-dimensional manifolds. Integrability results for few point-vortices on var…
math.SG2020★ 29 cited
Geometric hydrodynamics and infinite-dimensional Newton's equations
Boris Khesin, Gerard Misiolek, Klas Modin
We revisit the geodesic approach to ideal hydrodynamics and present a related geometric framework for Newton's equations on groups of diffeomorphisms and spaces of probability dens…