Unstable fingering patterns of Hele-Shaw flows as a dispersionless limit of the KdV hierarchy

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dc.creatorTeodorescu, R.
dc.creatorZabrodin, A.
dc.creatorWiegmann, P.
dc.date2005-02-07
dc.date2006-09-27
dc.date.accessioned2026-07-07T06:37:31Z
dc.date.available2026-07-07T06:37:31Z
dc.descriptionWe show that unstable fingering patterns of two dimensional flows of viscous fluids with open boundary are described by a dispersionless limit of the KdV hierarchy. In this framework, the fingering instability is linked to a known instability leading to regularized shock solutions for nonlinear waves, in dispersive media. The integrable structure of the flow suggests a dispersive regularization of the finite-time singularities.
dc.descriptionPublished version
dc.identifierhttps://arxiv.org/abs/cond-mat/0502179
dc.identifierhttp://arxiv.org/abs/cond-mat/0502179
dc.identifierPhys.Rev.Lett. 95 (2005) 044502
dc.identifierdoi:10.1103/PhysRevLett.95.044502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100415
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleUnstable fingering patterns of Hele-Shaw flows as a dispersionless limit of the KdV hierarchy
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