Abstract
A simple analytical singular perturbation theory is developed to describe the viscous adiabatic decay of the two-dimensional Lamb dipole vortex. The vortex parameters (translation speed, radius, and wavenumber) evolve so as to satisfy leading-order globally averaged energy and enstrophy balances. These transport equations are shown to be solvability conditions for the asymptotic expansion. Extensions of the asymptotic procedure to other isolated vortex problems are discussed.
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