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We investigate quasi-two-dimensional relaxation, by surface tension, of along straight stripe of inviscid fluid trapped inside a viscous fluid in aHele-Shaw cell. Combining analytical and numerical solutions, we describe theemergence of a self-similar dumbbell shape and find non-trivial dynamicexponents that characterize scaling behavior of the dumbbell dimensions.Comment: 4 pages, 5 figures, to appear in PR

Scaling and Self-Similarity in an Unforced Flow of Inviscid Fluid Trapped Inside a Viscous Fluid in a Hele-Shaw Cell