3 papers
quant-ph2026
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…
math-ph2025
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…
math.AP2024
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…