Singular limit of Hele-Shaw flow and dispersive regularization of shock waves

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dc.creatorBettelheim, Eldad
dc.creatorAgam, Oded
dc.creatorZabrodin, Anton
dc.creatorWiegmann, Paul
dc.date2005-05-11
dc.date2006-05-03
dc.date.accessioned2026-07-07T06:40:19Z
dc.date.available2026-07-07T06:40:19Z
dc.descriptionWe study a family of solutions to the Saffman-Taylor problem with zero surface tension at a critical regime. In this regime, the interface develops a thin singular finger. The flow of an isolated finger is given by the Whitham equations for the KdV integrable hierarchy. We show that the flow describing bubble break-off is identical to the Gurevich-Pitaevsky solution for regularization of shock waves in dispersive media. The method provides a scheme for the continuation of the flow through singularites.
dc.descriptionSome typos corrected, added journal reference
dc.identifierhttps://arxiv.org/abs/nlin/0505027
dc.identifierhttp://arxiv.org/abs/nlin/0505027
dc.identifierPhys. Rev. Lett. 95, 244504 (2005)
dc.identifierdoi:10.1103/PhysRevLett.95.244504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101367
dc.subjectExactly Solvable and Integrable Systems
dc.subjectSoft Condensed Matter
dc.subjectPattern Formation and Solitons
dc.subjectFluid Dynamics
dc.titleSingular limit of Hele-Shaw flow and dispersive regularization of shock waves
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