Bubble break-off in Hele-Shaw flows : Singularities and integrable structures

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dc.creatorLee, Seung-Yeop
dc.creatorBettelheim, Eldad
dc.creatorWiegmann, Paul
dc.date2006-04-23
dc.date2006-04-25
dc.date.accessioned2026-07-07T07:36:54Z
dc.date.available2026-07-07T07:36:54Z
dc.descriptionBubbles of inviscid fluid surrounded by a viscous fluid in a Hele-Shaw cell can merge and break-off. During the process of break-off, a thinning neck pinches off to a universal self-similar singularity. We describe this process and reveal its integrable structure: it is a solution of the dispersionless limit of the AKNS hierarchy. The singular break-off patterns are universal, not sensitive to details of the process and can be seen experimentally. We briefly discuss the dispersive regularization of the Hele-Shaw problem and the emergence of the Painlevé II equation at the break-off.
dc.description27 pages, 9 figures; typo corrected
dc.identifierhttps://arxiv.org/abs/nlin/0604054
dc.identifierhttp://arxiv.org/abs/nlin/0604054
dc.identifierPhysica D219 (2006) 22-34
dc.identifierdoi:10.1016/j.physd.2006.05.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120590
dc.subjectExactly Solvable and Integrable Systems
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectPattern Formation and Solitons
dc.titleBubble break-off in Hele-Shaw flows : Singularities and integrable structures
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