Dynamics and stability of sessile drops with contact points

DOI10.1016/J.JDE.2020.10.012zbMath1456.35154arXiv1907.05731OpenAlexW3092940750MaRDI QIDQ2216058

Lei Wu, Ian Tice

Publication date: 15 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05731

zbMATH Keywords

stabilityNavier-Stokes equationsfree boundary problemsurface tensionglobal solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Liquid-gas two-phase flows, bubbly flows (76T10)

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Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: derivations and computations ⋮ On a fluid-structure interaction problem for plaque growth: cylindrical domain

Cites Work

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• Boundary conditions for the moving contact line problem
• The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow
• The solvability of a free boundary problem for the stationary Navier-Stokes equations with a dynamic contact line
• Local Well Posedness of the Near-Equilibrium Contact Line Problem in 2-Dimensional Stokes Flow

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