1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.CV2024
Two dimensional potential theory with a view towards vortex motion: Energy, capacity and Green functions
Björn Gustafsson
The paper reviews some parts of classical potential theory with applications to two dimensional fluid dynamics, in particular vortex motion. Energy and forces within a system of po…
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…