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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.AP2022★ 1 cited

Locality of vortex stretching for the 3D Euler equations

Yuuki Shimizu, Tsuyoshi Yoneda

We consider the 3D incompressible Euler equations under the following situation: small-scale vortex blob being stretched by a prescribed large-scale stationary flow. More precisely…

math.AP2020★ 1 cited

Mathematical justification of the point vortex dynamics in background fields on surfaces as an Euler-Arnold flow

Yuuki Shimizu

The point vortex dynamics in background fields on surfaces is justified as an Euler-Arnold flow in the sense of de Rham currents. We formulate a current-valued solution of the Eule…