7 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…
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…
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…