Math @ Duke
Publications [#9865] of Andrea L Bertozzi
- Andrea L. Bertozzi, Guenther Gruen, and Thomas P. Witelski, Dewetting films: bifurcations and concentrations,
Nonlinearity, vol 14, number 6, Nov 2001, pp 1569-1592.
(last updated on 2001/10/17)
Under the influence of long range attractive and short range
thin liquid films rupture and form complex dewetting
This paper studies this phenomenon in one space dimension in
of fourth order degenerate parabolic equations of
We derive the global structure of the bifurcation
diagram for steady state solutions.
A stability analysis of the solution branches and numerical
suggest coarsening occurs.
Furthermore, we study the behavior of solutions in the limit
that short range repulsive forces are neglected. Both
asymptotic analysis and
experiments show that this limit can concentrate mass in
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