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- W2949883173 abstract "We show that some pieces of cylinders bounded by two parallel straight-lines bifurcate in a family of periodic non-rotational surfaces with constant mean curvature and with the same boundary conditions. These cylinders are initial interfaces in a problem of microscale range modeling the morphologies that adopt a liquid deposited in a chemically structured substrate with striped geometry or a liquid contained in a right wedge with Dirichlet and capillary boundary condition on the edges of the wedge. Experiments show that starting from these cylinders and once reached a certain stage, the shape of the liquid changes drastically in an abrupt manner. Studying the stability of such cylinders, the paper provides a mathematical proof of the existence of these new interfaces obtained in experiments. The analysis is based on the theory of bifurcation by simple eigenvalues of Crandall-Rabinowitz." @default.
- W2949883173 created "2019-06-27" @default.
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- W2949883173 date "2011-02-14" @default.
- W2949883173 modified "2023-10-18" @default.
- W2949883173 title "Bifurcation of cylinders for wetting and dewetting models with striped geometry" @default.
- W2949883173 hasPublicationYear "2011" @default.
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