Steady states of thin film droplets on chemically heterogeneous substrates

DOI10.1093/imamat/hxaa036zbMath1460.35025arXiv2002.11286OpenAlexW3092633243MaRDI QIDQ5855303

Weifan Liu, Thomas P. Witelski

Publication date: 18 March 2021

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11286

zbMATH Keywords

lubrication theorydisjoining pressureno-flux boundary conditions1D steady-state solutions2D dropletspinned droplets

Mathematics Subject Classification ID

Thin fluid films (76A20) Bifurcations in context of PDEs (35B32) Higher-order parabolic equations (35K25) Quasilinear parabolic equations (35K59)

Related Items (5)

Nonlinear dynamics of dewetting thin films ⋮ Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure ⋮ On the lifetimes of two-dimensional droplets on smooth wetting patterns ⋮ Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ Thin-film equations with singular potentials: an alternative solution to the contact-line paradox

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