[Dottorcomp] Seminari di Matematica Applicata, 14/01/2025, Massimiliano Morini

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 14 Gennaio 2025, alle ore 16 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Massimiliano Morini (Università di Parma)
terrà un seminario dal titolo:

Capillary surfaces and a model of nanowire growth.

Abstract.
After recalling the classical variational  formulation of the capillarity
problem and some  related results, we  consider a model for
vapor-liquid-solid growth of nanowires proposed in the physical literature.
In this model, 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.
Finally, we study the regularity of the contact line between the drop and
the nanowire near the sharp edge.