74 citations · 574 across the 42 of their papers we have counts for
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Dynamics of nonlinear resonances in Hamiltonian systems
Miguel D. Bustamante, Elena Kartashova
It is well known that the dynamics of a Hamiltonian system depends crucially on whether or not it possesses nonlinear resonances. In the generic case, the set of nonlinear resonanc…
Generalized Eulerian-Lagrangian description of Navier-Stokes and resistive MHD dynamics
Carlos Cartes, Miguel D. Bustamante, Annick Pouquet +1
New generalized equations of motion for the Weber-Clebsch potentials that describe both the Navier-Stokes and MHD dynamics are derived. These depend on a new parameter, which has d…
3D Euler about a 2D Symmetry Plane
Miguel D. Bustamante, Robert M. Kerr
Initial results from new calculations of interacting anti-parallel Euler vortices are presented with the objective of understanding the origins of singular scaling presented by Ker…