Asymptotic approximations for solutions to elliptic boundary-value problems in perforated domains
Homogenization and Random Phenomenon
13 November 14:00 - 14:55
Olena Sivak -
In this talk I will focus on asymptotic approximations for solutions to boundary-value problems for the second order elliptic differential operator with rapidly oscillating coefficients in domains which periodically perforated by small holes of the same order as the period of perforation. On the boundaries of the holes different types of boundary conditions, including nonlinear, are imposed. The results were obtained jointly with Prof. Taras A. Mel'nyk (Taras Shevchenko National University of Kyiv, Ukraine).
KTH Royal Institute of Technology
The University of Chicago