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Your search keyword '"Ken Abe"' showing total 2 results
Start Over Author "Ken Abe" Journal communications in mathematical physics
2 results on '"Ken Abe"'

1. Existence of Vortex Rings in Beltrami Flows

Author

Ken Abe

Subjects
Mathematics - Analysis of PDEs, ベルトラミ場, Beltrami fields, FOS: Mathematics, Grad-Shafranov equation, Statistical and Nonlinear Physics, Mathematical Physics, Analysis of PDEs (math.AP), Vortex rings
Abstract

We construct traveling wave solutions to the 3d Euler equations by axisymmetric Beltrami fields with a non-constant proportionality factor. They form a vortex ring with nested invariant tori consisting of level sets of the proportionality factor., 30 pages

Published
2022
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2. The Navier–Stokes Equations in a Space of Bounded Functions

Author

Ken Abe

Subjects
Mathematical analysis, Mathematics::Analysis of PDEs, Statistical and Nonlinear Physics, Bounded deformation, Navier–Stokes existence and smoothness, Non-dimensionalization and scaling of the Navier–Stokes equations, Physics::Fluid Dynamics, Bounded function, Hagen–Poiseuille flow from the Navier–Stokes equations, Boundary value problem, Navier–Stokes equations, Reynolds-averaged Navier–Stokes equations, Mathematical Physics, Mathematics
Abstract

We establish a blow-up rate of the Navier–Stokes equations subject to the non-slip boundary condition for a certain class of domains including bounded and exterior domains.

Published
2015
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