Field Theory Analysis of Laplacian Growth Models

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dc.creatorBettelheim, Eldad
dc.date2004-10-04
dc.date.accessioned2026-07-07T03:01:14Z
dc.date.available2026-07-07T03:01:14Z
dc.descriptionWe consider Laplacian growth problems using a field theory approach. In particular we consider the Saffman-Taylor (ST) problem. The idealized settings of the problem, with vanishing surface tension between the bubble and the surrounding fluid, is singular due to the formation of cusps after a finite time (for generic initial conditions). A natural regularization of the cusp, is the addition of surface tension, but this complicates the mathematical description of the problem a great deal. We discuss a different method of regularization which arises from the relation of the ST problem with integrable systems and matrix models.
dc.descriptionPhD thesis
dc.identifierhttps://arxiv.org/abs/cond-mat/0410071
dc.identifierhttp://arxiv.org/abs/cond-mat/0410071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24994
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleField Theory Analysis of Laplacian Growth Models
dc.typetext

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