A two-parameter family of analytical solutions of the linearized equations for axially dependent disturbances to the three-dimensional base strain field associated with the well-known axisymmetric Burgers vortex is presented. The solutions are valid asymptotically at large axial distances from the stagnation point. By a formal perturbation analysis, perturbative solutions are also found for disturbances to the Burgers vortex for small Reynolds numbers. The solutions are believed to provide important insights into the nature of the as-yet-unsolved problem of the linear stability of Burgers vortex to axially varying disturbances. [References: 9]
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