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Continuation and reduction of steady vortex sheets under metric deformations on a disk
We study the local continuation of a steady vortex sheet under a prescribed deformation $g_s= e^{2σ_s}g_{\mathrm{e}}$ of a conformal metric on the unit disk. Representing the moving sheet by a normal graph, we formulate the streamline and Bernoulli conditions as a nonlinear residual whose two compon
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