Dewetting films: Bifurcations and concentrations

Journal Article (Journal Article)

Under the influence of long-range attractive and short-range repulsive forces, thin liquid films rupture and form complex dewetting patterns. This paper studies this phenomenon in one space dimension within the framework of fourth-order degenerate parabolic equations of lubrication type. We derive the global structure of the bifurcation diagram for steady-state solutions. A stability analysis of the solution branches and numerical simulations suggest coarsening occurs. Furthermore, we study the behaviour of solutions in the limit that short-range repulsive forces are neglected. Both asymptotic analysis and numerical experiments show that this limit can concentrate mass in δ-distributions.

Full Text

Duke Authors

Cited Authors

  • Bertozzi, AL; Grün, G; Witelski, TP

Published Date

  • November 1, 2001

Published In

Volume / Issue

  • 14 / 6

Start / End Page

  • 1569 - 1592

International Standard Serial Number (ISSN)

  • 0951-7715

Digital Object Identifier (DOI)

  • 10.1088/0951-7715/14/6/309

Citation Source

  • Scopus