Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape

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dc.creatorYe, J.
dc.creatorTanveer, S.
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:10:43Z
dc.date.available2026-07-07T10:10:43Z
dc.descriptionUsing a vortex sheet method we prove global existence of a near circular initial bubble in a Hele-Shaw cell with surface tension and generally finite nonzero viscosity ratio between fluids inside and outside the bubble. The circular shape is shown to be asymptotically stable for all sufficiently smooth small perturbation. The initial condition in this case, while smooth, need not be analytic.
dc.identifierhttps://arxiv.org/abs/0810.2980
dc.identifierhttp://arxiv.org/abs/0810.2980
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171672
dc.subjectDynamical Systems
dc.subject76D03
dc.titleGlobal solutions for two-phase Hele-Shaw bubble for a near-circular initial shape
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