2 citations · 3 across the 2 of their papers we have counts for
2 papers
math.DG2024★ 2 cited
Vortex on surfaces and Brownian-motion in higher dimensions: special metrics
Clodoaldo Grotta-Ragazzo
A single hydrodynamic vortex on a surface will in general moves unless its Riemannian metric is a special "Steady Vortex Metric" (SVM). Metrics of constant curvature are SVM only i…
math-ph2023★ 1 cited
On the interplay between vortices and harmonic flows: Hodge decomposition of Euler's equations in 2d
Clodoaldo Grotta-Ragazzo, Björn Gustafsson, Jair Koiller
Let be a compact manifold without boundary whose first homology is nontrivial. Hodge decomposition of the incompressible Euler's equation in terms of 1-forms yields a coupled P…