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 $\Omega (t)$ in ${\mathbb{R}}^3$. Especially, we investigate the domain dependence of each component in the…