منابع مشابه
Exponential Asymptotics for Thin Film Rupture
The formation of singularities in models of many physical systems can be described using self-similar solutions. One particular example is the finite-time rupture of a thin film of viscous fluid which coats a solid substrate. Previous studies have suggested the existence of a discrete, countably infinite number of distinct solutions of the nonlinear differential equation which describes the sel...
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In this paper, we investigate the rupture dynamics of thin liquid films driven by intermolecular forces via weakly nonlinear bifurcation analysis. The dynamic equations governing slow dynamics of the perturbation amplitude of the near-critical mode corresponding to several models describing the evolution of thin liquid films in different physical situations appear to have the same structure. Wh...
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ژورنال
عنوان ژورنال: Physical Review Fluids
سال: 2020
ISSN: 2469-990X
DOI: 10.1103/physrevfluids.5.014002