[1] Y. Shimizu, Green's function for the Laplace-Beltrami operator on surfaces with a non-trivial Killing vector field and its application to potential flows.
[2] K.Sakakibara and Y.Shimizu, Numerical method for Plateau problem by the method of fundamental solutions [arXiv]
査読付論文
[5] Y. Shimizu, Hydrodynamic Killing vector fields on surfaces, J. Geom. Phys. (2024) (doi:10.1016/j.geomphys.2023.105080) [Journal] [arXiv]
[4] Y. Shimizu and T. Yoneda, Locality of vortex stretching for the 3D Euler equations.J. Math. Fluid Mech., 25 (2023), 18.(doi:10.1007/s00021-023-00763-1)[Journal] [arXiv]
[3] Y. Shimizu, Mathematical justification of the point vortex dynamics in background fields on surfaces as an Euler-Arnold flow, Jpn. J. Indust. Appl. Math. (2022) (doi:10.1007/s13160-022-00529-8) [Journal] [arXiv]
[2] T. Sakajo and Y. Shimizu, Toroidal Geometry Stabilizing a Latitudinal Ring of Point Vortices on a Torus, J. Nonlinear Sci. (2017) (doi: 10.1007/s00332-017-9440-z).