Interacting Motion of Rectilinear Geostrophic Vortices

摘要: The kinematic motion of (N+1) geostrophic (Bessel) vortices is studied. Initially, the are positioned near a uniformly rotating equilibrium configuration which consists N equal strength γ equally spaced on circle radius a, and one vortex γ0 at center circle. One length scale κ−1 associated with each vortices, limiting case κ = 0being classical logarithmic vortex. linearized stability this studied over range three parameters: N≥2, 0≤ (κa) < ∞, − ∞ <(γ0/κ) < ∞. Over entire parameters, there double‐zero eigenvalues, imply that inherently nonlinear. Numerical computations show nonlinear effects important in parametric transition region embracing both stable unstable sides neutral curves for even small initial perturbations. not well...