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• W3201645118 abstract "We study global minimizers of a functional modeling the free energy of thin liquid layers over a solid substrate under the combined effect of surface, gravitational, and intermolecular potentials. When the latter ones have a mild repulsive singularity at short ranges, global minimizers are compactly supported and display a microscopic contact angle of $pi/2$. Depending on the form of the potential, the macroscopic shape can either be droplet-like or pancake-like, with a transition profile between the two at zero spreading coefficient. These results generalize, complete, and give mathematical rigor to de Gennes' formal discussion of spreading equilibria. Uniqueness and non-uniqueness phenomena are also discussed." @default.
• W3201645118 created "2021-09-27" @default.
• W3201645118 creator A5049147245 @default.
• W3201645118 creator A5087674457 @default.
• W3201645118 date "2022-08-16" @default.
• W3201645118 modified "2023-09-23" @default.
• W3201645118 title "Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets" @default.
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• W3201645118 doi "https://doi.org/10.1007/s00332-022-09826-5" @default.
• W3201645118 hasPublicationYear "2022" @default.
• W3201645118 type Work @default.
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• W3201645118 citedByCount "2" @default.

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