Math @ Duke
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Publications [#320453] of Thomas P. Witelski
search www.ams.org.Papers Published
- Ji, H; Witelski, TP, Finite-time thin film rupture driven by modified evaporative loss,
Physica D: Nonlinear Phenomena, vol. 342
(March, 2017),
pp. 1-15, Elsevier BV [doi]
(last updated on 2024/03/28)
Abstract: Rupture is a nonlinear instability resulting in a finite-time singularity as a film layer approaches zero thickness at a point. We study the dynamics of rupture in a generalized mathematical model of thin films of viscous fluids with modified evaporative effects. The governing lubrication model is a fourth-order nonlinear parabolic partial differential equation with a non-conservative loss term. Several different types of finite-time singularities are observed due to balances between conservative and non-conservative terms. Non-self-similar behavior and two classes of self-similar rupture solutions are analyzed and validated against high resolution PDE simulations.
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