INTERACTING MOTION OF RECTILINEAR GEOSTROPHIC VORTICES. I. LINEAR STABILITY ANALYSIS.
Abstract
The kinematic motion of (N + 1) geostrophic (Bessel) vortices is studied. Initially the vortices are positioned near a uniformly rotating equilibrium configuration which consists of N vortices of equal strength gamma, equally spaced on a circle of radius a, and one vortex of strength gamma sub o at the center of the circle. One length scale 1/kappa is associated with each of the vortices, the limiting case kappa = 0 being the classical logarithmic vortex. The exponential stability of this equilibrium configuration is studied over the range of the three parameters: N > or = 2, 0 < or = (kappa a) < infinity and -infinity < (gamma sub o/gamma) < infinity. The need for a supplementary nonlinear study is discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1968
- Accession Number
- AD0666124
Entities
People
- Eva V. Swenson
- George K. Morikawa
Organizations
- New York University