H. Kozono

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math.AP2019

$L^{r}$ -Helmholtz-Weyl decomposition for three dimensional exterior domains

Matthias Hieber, Hideo Kozono, Anton Seyfert +2

In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the $L^{r}$ -setting for $1 < p < \infty$ .

math.AP2019

Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral

Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

We consider the stationary and non-stationary Navier-Stokes equations in the whole plane $R^{2}$ and in the exterior domain outside of the large circle. The solution $v$ is…

Lr-Helmholtz-Weyl decomposition for three dimensional exterior domains

Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral

$L^{r}$ -Helmholtz-Weyl decomposition for three dimensional exterior domains