no. 4
Global and local energy minimizers for a nanowire growth model
Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 4, pp. 919-957
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We consider a model for vapor–liquid–solid growth of nanowires proposed in the physical literature. Liquid drops are described as local or global volume-constrained minimizers of the capillarity energy outside a semi-infinite convex obstacle modeling the nanowire. We first address the existence of global minimizers and then, in the case of rotationally symmetric nanowires, we investigate how the presence of a sharp edge affects the shape of local minimizers and the validity of Young’s law.

Accepté le :
Publié le :
DOI : 10.4171/aihpc/54
Classification : 49Q05, 49S05
Keywords: Capillarity functional, nanowires, Young’s law 
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     author = {Fonseca, Irene and Fusco, Nicola and Leoni, Giovanni and Morini, Massimiliano},
     title = {Global and local energy minimizers for a nanowire growth model},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {919--957},
     year = {2023},
     volume = {40},
     number = {4},
     doi = {10.4171/aihpc/54},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpc/54/}
}
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Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano. Global and local energy minimizers for a nanowire growth model. Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 4, pp. 919-957. doi: 10.4171/aihpc/54

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