Ken Abe

activity

20162023

most citedStability of Lamb dipoles

9 citations · 12 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AP2018

Liouville theorems for the Stokes equations with applications to large time estimates

Ken Abe

We study Liouville theorems for the non-stationary Stokes equations in exterior domains in $R^{n}$ under decay conditions for spatial variables. As applications, we prove…

math.AP2018

Vanishing viscosity limits for axisymmetric flows with boundary

Ken Abe

We construct global weak solutions of the Euler equations in an infinite cylinder $Π = {x \in R^{3} ∣ x_{h} = (x_{1}, x_{2}), r = ∣ x_{h} ∣ < 1}$ for axisymmetric initial data without sw…

math.AP2018

The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder

Ken Abe

We prove unique existence of local-in-time smooth solutions of the Navier-Stokes equations for initial data in $L^{p}$ and $p \in [3, \infty)$ in an infinite cylinder, subject to t…