Seminar za diferencijalne jednadžbe i numeričku analizu
U ponedjeljak, 09.02.2015. s početkom u 12 sati u predavaonici 201
Mathematical analysis of island formation in epitaxially strained crystalline films.
have been introduced in the physical literature to describe the shapes
of epitaxially strained crystalline films deposited on rigid
substrates, when there is a mismatch between the lattice parameters of
the two crystals. The driving energy functional accounts for the
elastic energy stored in the film due to a crystallographic misfit,
and the surface energy of the film's free surface. We discuss
existence of optimal film profiles and some geometric properties of
minimizers if they exist. The influence of a non-vanishing miscut
angle is also considered. This talk is based on joint works with P.
Bella and M. Goldman, and with I. Fonseca and A. Pratelli.
ovom predavanju.