8 citations · 8 across the 3 of their papers we have counts for
3 papers
math.DG2024
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…
physics.flu-dyn2023
Numerical simulation of two-dimensional incompressible Navier-Stokes turbulence by Clebsch potentials
Shuntaro Murai, Naoki Sato, Zensho Yoshida
The Clebsch representation of a velocity field represents an effective tool for the analysis of physical properties of fluid flows. Indeed, a suitable choice of Clebsch potentials…
physics.plasm-ph2014★ 8 cited
A Stochastic Model of Inward Diffusion in Magnetospheric Plasmas
Naoki Sato, Zensho Yoshida
The inward diffusion of particles, often observed in magnetospheric plasmas (either naturally created stellar ones or laboratory devices) creates a spontaneous density gradient, wh…