Erika Ushikoshi

collaborators

2 papers

math.AP2023

Helmholtz-Weyl decomposition on a time dependent domain for time periodic Navier-Stokes flows with large flux

Haru Kanno, Takahiro Okabe, Erika Ushikoshi

We consider the Helmholtz-Weyl decomposition on a time dependent bounded domain $Ω (t)$ in $R^{3}$ . Especially, we investigate the domain dependence of each component in the…

math.SP2018

The first Hadamard variation of Neumann-Poincaré eigenvalues on the sphere

Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1

The Neumann-Poincaré operator on the sphere has $\frac{1}{2 ( 2 k + 1 )}$ , $k = 0, 1, 2, \dots$ , as its eigenvalues and the corresponding multiplicity is $2 k + 1$ . We consider the bifurcation…