ERC School on Free Discontinuity Problems*

course: Epitaxial growth of thin films

speaker: Giovanni Leoni (Carnegie Mellon University)

abstract: The topic of this course is the epitaxial growth of strained this films. The course is based on the papers

• I. Fonseca, N. Fusco, G. Leoni, and M. Morini, Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results, Arch. Rational Mech. Anal. 186 (2007) 477--537;
• N. Fusco, I. Fonseca, G. Leoni, and V. Millot, Material voids in elastic solids with anisotropic surface energies, J. Math. Pures Appl. 96 (2011) 591-639;
• I. Fonseca, N. Fusco, G. Leoni, and M. Morini, Motion of elastic thin films by anisotropic surface diffusion with curvature regularization, Arch. Rational Mech. Anal. 205 (2012) 425-466;
• I. Fonseca, N. Fusco, G. Leoni, and M. Morini, Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Submitted for publication.

In the first lesson I will discuss the physical problem. In the remaining lectures I will prove existence and regularity of solutions of the static problem. If time remains, I will discuss the dynamic problem.

timetable:
Tue 8 Jul, 9:00 - 10:30, Aula Dini
Wed 9 Jul, 11:00 - 12:30, Aula Dini
Thu 10 Jul, 9:00 - 10:30, Aula Dini
Fri 11 Jul, 11:00 - 12:30, Aula Dini
<< Go back