Dr. Gennadiy Sandrakov
Taras Shevchenko National University of Kyiv
Presentation title: Homogenization methods for composite materials, porous media, and possible modeling of photonic crystals.
Abstract: Homogenization methods for composites as heterogeneous materials and periodic composites with microscale will be discussed. Heat transfer examples and homogenized problem with memory effect for the composites will be presented. Approximation accuracy statements for solutions and energies will be pointed. These are necessary for the computer solution of the problem with guaranteed accuracy. The research explains why composites with weakly conductive inclusions are good thermal insulators. Possible generalizations for investigating homogenization techniques for photonic crystals and nanocoatings will be indicated.