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math-ph2006
Explicit mean-field radius for nearly parallel vortex filaments in statistical equilibrium
Timothy D. Andersen, Chjan C. Lim
Geophysical research has focused on flows, such as ocean currents, as two dimensional. Two dimensional point or blob vortex models have the advantage of having a Hamiltonian, where…
math-ph2006
Trapped slender vortex filaments in statistical equilibrium
Timothy D. Andersen, Chjan C. Lim
The statistical mechanics of nearly parallel vortex filaments confined in the unbounded plane by angular momentum, first studied by Lions and Majda (2000), is investigated using a…