3 citations · 10 across the 12 of their papers we have counts for
12 papers
Admissible Invariant-Torus Foliations for Steady Euler Flows
Naoki Sato, Ken Abe
In 1965, V. I. Arnold established a structure theorem guaranteeing the existence of a foliation by invariant surfaces for general three-dimensional steady Euler flows with non-cons…
Minus one Homogeneous Euler Flows are Geodesible
Ken Abe, Naoki Sato, Chunjing Xie
In this paper, we study -homogeneous steady solutions to the Euler equations on . In low dimensions , such flows are known to be essentia…
Quantum--Fluid Correspondence for Systems of Nonrelativistic Spin- Particles
Naoki Sato, Michio Yamada
We show that a charged fluid endowed with an internal spin degree of freedom naturally satisfies the Pauli equation for a nonrelativistic spin-1/2 particle, and that a collection o…
Degenerate Soft Modes and Selective Condensation in BaAlO via Inelastic X-ray Scattering
Yui Ishii, Arisa Yamamoto, Alfred Q. R. Baron +2
BaAlO is a ferroelectric material that exhibits structural quantum criticality through chemical composition tuning. Although theoretical calculations and several diffractio…
MHS equilibria in the non-resistive limit to the randomly forced resistive magnetic relaxation equations
Ken Abe, In-Jee Jeong, Federico Pasqualotto +1
We consider randomly forced resistive magnetic relaxation equations (MRE) with resistivity and a force proportional to on the flat -torus for $…
Topological Invariants in Higher-Dimensional Magnetohydrodynamics
Naoki Sato, Ken Abe, Michio Yamada
It is well known that the three-dimensional ideal magnetohydrodynamics (MHD) equations possess three magnetic invariants: (M) magnetic helicity, (C) cross helicity, and (P) the mea…
Generalizing Hamiltonian Mechanics with Closed Differential Forms
Nathan Duignan, Naoki Sato
Classical Hamiltonian mechanics, characterized by a single conserved Hamiltonian (energy) and symplectic geometry, `hides' other invariants into symmetries of the Hamiltonian or in…
Steady Compressible 3D Euler Flows in Toroidal Volumes without Continuous Euclidean Isometries
Naoki Sato, Michio Yamada
We demonstrate the existence of smooth three-dimensional vector fields where the cross product between the vector field and its curl is balanced by the gradient of a smooth functio…
A Reduced Ideal MHD System for Nonlinear Magnetic Field Turbulence in Plasmas with Approximate Flux Surfaces
Naoki Sato, Michio Yamada
This paper studies the nonlinear evolution of magnetic field turbulence in proximity of steady ideal MHD configurations characterized by a small electric current, a small plasma fl…
Hamiltonian Structure and Nonlinear Stability of Steady Solutions of the Generalized Hasegawa-Mima Equation for Drift Wave Turbulence in Curved Magnetic Fields
Naoki Sato, Michio Yamada
The Generalized Hasegawa-Mima (GHM) equation, which generalizes the standard Hasegawa-Mima (HM) equation, is a nonlinear equation describing the evolution of drift wave turbulence…
Guiding Center Derivation of the Generalized Hasegawa-Mima Equation for Drift Wave Turbulence in Curved Magnetic Fields
Naoki Sato, Michio Yamada
Recently, a generalized Hasegawa-Mima (gHM) equation describing drift wave turbulence in curved magnetic fields has been derived in [N. Sato and M. Yamada, J. Plasma Phys. (2022),…
Beltrami operators
Naoki Sato
Beltrami fields occur as stationary solutions of the Euler equations of fluid flow and as force free magnetic fields in magnetohydrodynamics. In this paper we discuss the role of B…