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Alessandra De Luca: Nonlocal capillarity problems with anisotropic kernels

Time: Thu 2022-11-17 14.00 - 15.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Alessandra De Luca - Ca' Foscari University of Venice

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Abstract:

Classical capillarity theory is based on the study of volume-constrained critical points and local/global minimizers of the Gauss free energy of a liquid droplet occupying a region inside a container. \In 2016 Maggi and Valdinoci introduced a family of nonlocal capillarity models where surface tension energies are replaced with fractional interaction energies. \I will discuss a nonlocal capillarity problem involving kernels which are possibly anisotropic and have different homogeneity in order to take into account the possibility that the liquid/air interaction and the liquid/surface one are different.