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# Stable and unstable singularities in the unforced Hele-Shaw cell

@inproceedings{Almgrena1996StableAU, title={Stable and unstable singularities in the unforced Hele-Shaw cell}, author={Robert Almgrena}, year={1996} }

- Published 1996

We study singularity formation in the lubrication model for the unforced Hele-Shaw system, describing the breaking in two of a fluid droplet confined between two narrowly spaced glass plates. By varying the initial data, we exhibit four different scenarios: ~1! the droplet breaks in finite time, with two pinch points moving toward each other and merging at the singular time; ~2! the droplet breaks in finite time, with two asymmetric pinch points propagating away from each other; ~3! the droplet… CONTINUE READING