18 citations · 57 across the 9 of their papers we have counts for
9 papers
Nested invariant tori foliating a vector field and its curl: toward MHD equilibria and steady Euler flows in toroidal domains without continuous Euclidean isometries
Naoki Sato, Michio Yamada
This paper studies the problem of finding a three-dimensional solenoidal vector field such that both the vector field and its curl are tangential to a given family of toroidal surf…
Vorticity equation on surfaces with arbitrary topology
Naoki Sato, Michio Yamada
We derive the vorticity equation for an incompressible fluid on a 2-dimensional surface with arbitrary topology embedded in 3-dimensional Euclidean space by using a tailored Clebsc…
A Generalized Hasegawa-Mima Equation in Curved Magnetic Fields
Naoki Sato, Michio Yamada
We derive a model equation describing electrostatic plasma turbulence in general (inhomogeneous and curved) magnetic fields by analysing the effect of curved geometry on the ion fl…
Superharmonic instability of nonlinear traveling wave solutions in Hamiltonian systems
N. Sato, M. Yamada
The problem of linear instability of a nonlinear traveling wave in a canonical Hamiltonian system with translational symmetry subject to superharmonic perturbations is discussed. I…
Local representation and construction of Beltrami fields II. Solenoidal Beltrami fields and ideal MHD equilibria
Naoki Sato, Michio Yamada
Object of the present paper is the local theory of solution for steady ideal Euler flows and ideal MHD equilibria. The present analysis relies on the Lie-Darboux theorem of differe…
Local Representation and Construction of Beltrami Fields
Naoki Sato, Michio Yamada
A Beltrami field is an eigenvector of the curl operator. Beltrami fields describe steady flows in fluid dynamics and force free magnetic fields in plasma turbulence. By application…