Stability of self-similar solutions for van der Waals driven thin film rupture

Journal Article (Letter;Journal)

Recent studies of pinch-off of filaments and rupture in thin films have found infinite sets of first-type similarity solutions. Of these, the dynamically stable similarity solutions produce observable rupture behavior as localized, finite-time singularities in the models of the flow. In this letter we describe a systematic technique for calculating such solutions and determining their linear stability. For the problem of axisymmetric van der Waals driven rupture (recently studied by Zhang and Lister), we identify the unique stable similarity solution for point rupture of a thin film and an alternative mode of singularity formation corresponding to annular “ring rupture.”. © 1999, American Institute of Physics. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Witelski, TP; Bernoff, AJ

Published Date

  • January 1, 1999

Published In

Volume / Issue

  • 11 / 9

Start / End Page

  • 2443 - 2445

Electronic International Standard Serial Number (EISSN)

  • 1089-7666

International Standard Serial Number (ISSN)

  • 1070-6631

Digital Object Identifier (DOI)

  • 10.1063/1.870138

Citation Source

  • Scopus