18 citations · 39 across the 14 of their papers we have counts for
14 papers
Existence and Nonlocal-to-Local Convergence for Singular, Anisotropic Nonlocal Cahn-Hilliard Equations
Helmut Abels, Yutaka Terasawa
We study the nonlocal-to-local convergence for a nonlocal Cahn-Hilliard equation with anisotropic and singular kernels. In particular, we show convergence of weak solutions of the…
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…
Liouville-type theorems for the new Taylor--Couette flow of the stationary Navier--Stokes equations
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
We study the stationary Navier--Stokes equations in the region between two rotating concentric cylinders. We first prove that, under the small Reynolds number, if the fluid is axis…
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 -…
Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities
Helmut Abels, Yutaka Terasawa
We prove convergence of suitable subsequences of weak solutions of a diffuse interface model for the two-phase flow of incompressible fluids with different densities with a nonloca…
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…