Tomoki Takahashi

collaborators

2 papers

math.AP2024

Navier--Stokes flow in the exterior of a moving obstacle with a Lipschitz boundary

Tomoki Takahashi, Keiichi Watanabe

Consider the three-dimensional Navier--Stokes flow past a moving rigid body $O \subset R^{3}$ with prescribed translational and angular velocities, where $\mathscr…

math.AP2022

Anisotropically weighted $L^{q}$ - $L^{r}$ estimates of the Oseen semigroup in exterior domains, with applications to the Navier-Stokes flow past a rigid body

Tomoki Takahashi

We consider the spatial-temporal behavior of the Navier-Stokes flow past a rigid body in $R^{3}$ . The present paper develops analysis in Lebesgue spaces with anisotropic wei…

Navier--Stokes flow in the exterior of a moving obstacle with a Lipschitz boundary

Anisotropically weighted Lq-Lr estimates of the Oseen semigroup in exterior domains, with applications to the Navier-Stokes flow past a rigid body

Anisotropically weighted $L^{q}$ - $L^{r}$ estimates of the Oseen semigroup in exterior domains, with applications to the Navier-Stokes flow past a rigid body