3 papers
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 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.PR2017
On the asymptotic behavior of Bessel-like diffusions
Yuuki Shimizu, Fumihiko Nakano
We derive the asymptotic behavior of the transition probability density of the Bessel-like diffusions for "dimension" .