Alexander Gavrikov

My current interests are in several branches of applied mathematics and mechanics: applications of optimal control theory, mechanics of inhomogeneous continuum including mechanics of living matter, and diffraction theory (see my website https://sites.psu.edu/alexandergavrikov/). Regarding the mechanics of the inhomogeneous continuum, the classical vibration theory approaches as well as the homogenization theory are applied in my studies. Currently, I am working on the problems arising in math biology: how bacteria move in inhomogeneous media, e.g. mucus, modeled as a liquid crystal. In the field of control theory, I work on control problems for systems with distributed parameters such as vibrating and moving beams, heating systems, etc. Here, I am also interested in corresponding eigenproblems and methods of their solution. In addition, I had been working for a while in the field of holography with application to microelectronics.