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- W2788395923 abstract "The stability of compactly supported, axisymmetric droplet states is considered for driven thin viscous films evolving on two-dimensional surfaces. Stability is assessed using Lyapunov energy methods afforded by the Cahn–Hilliard variational form of the governing equation. For general driving forces, a criterion on the gradient of profiles at the boundary of their support (their contact slope) is shown to be a necessary condition for stability. Additional necessary and sufficient conditions for stability are established for a specific driving force corresponding to a thermocapillary-driven film. It is found that only droplets of sufficiently short height that satisfy the contact slope criterion are stable. This destabilization of droplets with increasing height is characterized as a saddle-node bifurcation between a branch of tall, unstable droplets and a branch of short, stable droplets." @default.
- W2788395923 created "2018-03-06" @default.
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- W2788395923 date "2018-02-12" @default.
- W2788395923 modified "2023-10-18" @default.
- W2788395923 title "Stability and instability of axisymmetric droplets in thermocapillary-driven thin films" @default.
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- W2788395923 doi "https://doi.org/10.1088/1361-6544/aa999c" @default.
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