34 citations · 34 across the 3 of their papers we have counts for
3 papers
physics.flu-dyn2020
A Hamiltonian description of finite-time singularity in Euler's fluid equations
Philip J. Morrison, Yoshifumi Kimura
The recently proposed low degree-of-freedom model of Moffat and Kimura [1,2] for describing the approach to finite-time singularity of the incompressible Euler fluid equations is i…
physics.flu-dyn2019★ 34 cited
Towards a finite-time singularity of the Navier-Stokes equations. Part 2. Vortex reconnection and singularity evasion
H. K. Moffatt, Yoshifumi Kimura
In Part 1 of this work, we have derived a dynamical system describing the approach to a finite-time singularity of the Navier-Stokes equations. We now supplement this system with a…
physics.flu-dyn2018
Towards a finite-time singularity of the Navier-Stokes equations
Keith Moffatt, Yoshifumi Kimura
A model is developed describing the approach to a finite-time singularity of the Navier-Stokes equations for two interacting vortices. The model is derived from a combination of th…