8 citations · 15 across the 4 of their papers we have counts for
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physics.flu-dyn2020★ 2 cited
Realization of Incompressible Navier-Stokes Flow as Superposition of Transport Processes for Clebsch Potentials
Naoki Sato
In ideal fluids, Clebsch potentials occur as paired canonical variables associated with the Hamiltonian description of the Euler equations. This paper explores the properties of th…
physics.flu-dyn2019
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…
physics.flu-dyn2017★ 1 cited
Relaxation of Compressible Euler Flow in a Toroidal Domain
Naoki Sato, Robert L. Dewar
It is shown that the universal steady Euler flow field, independent of boundary shape or symmetry, in a toroidal domain with fixed boundary obeys a nonlinear Beltrami equation, wit…