Energy stability of droplets and dry spots in a thin film model of hanging drops

DOI10.1007/s00033-017-0852-2zbMath1386.76019OpenAlexW2745371162MaRDI QIDQ1690525

Ka-Luen Cheung, Kai-Seng Chou

Publication date: 19 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0852-2

zbMATH Keywords

radial symmetrythin film equationdroplets with zero contact angleenergy stable solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Thin fluid films (76A20)

Related Items (2)

Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ On dry spot and droplet solutions for thin films on the plane

Cites Work

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• Linear stability of steady states for thin film and Cahn-Hilliard type equations
• Energy levels of steady states for thin-film-type equations
• The thin viscous flow equation in higher space dimensions
• Rayleigh–Taylor instability in thin viscous films
• On the stability of single and multiple droplets for equations of thin film type
• Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe
• Two-dimensional patterns in Rayleigh-Taylor instability of a thin layer
• On a nonlinear thermocapillary effect in thin liquid layers
• On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
• Properties of steady states for thin film equations
• A mountain pass scenario and heteroclinic orbits for thin-film type equations
• A symmetry result for an elliptic problem arising from the 2-D thin film equation
• Some recent results on the zeros of Bessel functions and orthogonal polynomials

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