Speaker: Dr. Eric Stachura, Kennesaw State University
Title: “The Drude-Born-Fedorov system on anisotropic fractals”
Abstract: Fractals are ubiquitous in nature, appearing in coastlines, porous media, cracks, snowflakes, etc. They can be used to model complex environments like the human bronchial tree and atmospheric boundary layers over complex terrain. In this talk, I will discuss a mathematical framework to study differential equations on anisotropic fractal solids. These are fractal structures that could have different Hausdorff dimensions in each direction and appear, for instance, in the modeling of composite structures with fractal type microstructures. I will then discuss a fractal version of a cavity eigenvalue problem for the Drude-Born-Fedorov system. This system arises from the time harmonic Maxwell system with constitutive relations that model a material that responds with both an electric and magnetic polarization due to an electric or magnetic excitation.

The Analysis and Applied Mathematics (AAM) Seminar is intended for Kennesaw State faculty working in the various areas of analysis and applied mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending.

This seminar will be held in-person and virtually. 

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