Motion of a Vortex Blotch,
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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We derive an equation for invariant curves in the motion of a vortex blotch. Kirchhoffs elliptical vortex is shown to satisfy the equation exactly. We also find that perturbations to a circular vortex are invariant configurations to the third order of approximation calculated.
- Fluid Mechanics