4 citations · 11 across the 7 of their papers we have counts for
9 papers
Besov space approach to the Navier-Stokes equations with the Neumann boundary condition in bounded domains
Tsukasa Iwabuchi, Hideo Kozono
Based on the analysis by Iwabuchi-Matsuyama-Taniguchi (2019), we first introduce our framework of Besov spaces on the bounded domain with…
Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains
Matthias Hieber, Hideo Kozono, Sylvie Monniaux +1
Consider the coupled Keller-Segel-Navier-Stokes or the chemotaxis-consumption-Navier-Stokes system in bounded Lipschitz domains for general coupling terms which, e.g., include buoy…
Asymptotic behavior of solutions to elliptic equations in 2D exterior domains
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
The asymptotic behavior of solutions to the second order elliptic equations in exterior domains is studied. In particular, under the assumption that the solution belongs to the Lor…
Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
We study the asymptotic behavior of solutions to the steady Navier-Stokes equations outside of an infinite cylinder in . We assume that the flow is periodic in -…
Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
We study the asymptotic behavior of axisymmetric solutions with no swirl to the steady Navier-Stokes equations in the outside of the cylinder. We prove an a priori decay estimate o…
Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second orderin unbounded domains
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
We study an asymptotic behavior of solutions to elliptic equations of the second order in a two dimensional exterior domain. Under the assumption that the solution belongs to …
-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 -setting for .
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 and in the exterior domain outside of the large circle. The solution is…
Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
Introducing a new notion of generalized suitable weak solutions, we first prove validity of the energy inequality for such a class of weak solutions to the Navier-Stokes equations…