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math.AP2022★ 4 cited
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 -…
math.AP2022
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…