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On ε-approximate singularities of autonomous systems of vortex type
Published online by Cambridge University Press: 22 January 2016
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Let us consider three vortex-filaments zj(t) with strength Γj (j = 1, 2, 3) in the complex plane C. Then the system of motion equations is given by
This system (E) is defined on V = C3 = Δ, where Δ = {(z1 z2, z3) ∈ C3; Zj = zk for j ≠ k} is the super-diagonal set of C3.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1992