55 citations · 381 across the 38 of their papers we have counts for
39 papers
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…
Hierarchical foliation of one-dimensional Vlasov-Poisson system
K. Maekaku, Z. Yoshida
We elucidate the intermediate of the macroscopic fluid model and the microscopic kinetic model by studying the Poisson algebraic structure of the one-dimensional Vlasov-Poisson sys…
Nambu mechanics viewed as a Clebsch parameterized Poisson algebra -- toward canonicalization and quantization
Zensho Yoshida
In his pioneering paper [Phys. Rev. E 7, 2405 (1973)], Nambu proposed the idea of multiple Hamiltonian systems. The explicit example examined there is equivalent to the so(3) Lie-P…
Clebsch representation of relativistic plasma and generalized enstrophy
Keiichiro Nunotani, Zensho Yoshida
The dynamics of plasma can be formulated as a subalgebra of the Poisson manifold of the Clebsch fields. In this work, we extend this formulation to a Lorentz covariant form. We sho…
Kinetic construction of the high-beta anisotropic-pressure equilibrium in the magnetosphere
H. Aibara, Z. Yoshida, K. Shirahata
A theoretical model of the high-beta equilibrium of magnetospheric plasma was constructed by consistently connecting the (anisotropic pressure) Grad-Shafranov equation and the Vlas…
The kinetic origin of the fluid helicity -- a symmetry in the kinetic phase space
Zensho Yoshida, Philip J. Morrison
Helicity, a topological degree that measures the winding and linking of vortex lines, is preserved by ideal (barotropic) fluid dynamics. In the context of the Hamiltonian descripti…