Yuuki Shimizu

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20172026

most citedPoint vortex on surfaces with continuous symmetry

2 citations · 5 across the 8 of their papers we have counts for

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math.DG2026

Continuation and reduction of steady vortex sheets under metric deformations on a disk

Yuuki Shimizu

We study the local continuation of a steady vortex sheet under a prescribed deformation $g_{s} = e^{2 σ_{s}} g_{e}$ of a conformal metric on the unit disk. Representing the movin…

math.DG2023

Hydrodynamic Killing vector fields on surfaces

Yuuki Shimizu

Killing vector fields, which have their origins in Riemannian geometry, have recently garnered attention for their significance in understanding fluid flows on curved surfaces. Owi…

math.DG2018★ 2 cited

Point vortex on surfaces with continuous symmetry

Yuuki Shimizu

We derive an analytic formula for the hydrodynamic Green function and the Robin function on every orientable surface admitting a hydrodynamic Killing vector field. Closed-form expr…