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We study the growth of disturbances to vortex rings with swirl, which are exact solutions of the Euler equations of inviscid ow, using two c o n trasting methods. The motion of the perturbed vortex rings can be regarded as a prototype for the inviscid dynamics of vortex structures in 3D. Exact rings with swirl are computed as steady, axisymmetric ow s u s i n g a v ariational method. Asymptotic analysis in the short wave limit, similar to geometric optics, leads to ordinary di erentialdoi:10.1051/proc:1996017 fatcat:wx7ci25eu5egdhjuq4wjs6muua