Variational Problems for the 2D Maxwell System

Partial differential equations are used to model many physical phenomena and the Maxwell system of equations is a system of partial differential equations that model electric and magnetic fields that come from electric charges and currents. In my undergraduate research guided by Dr. Eric Stachura, we explore how a solution of the Maxwell system is affected by the geometry of the problem. In this presentation, I will talk about the progress that was made during this undergraduate research project and how this experience has shaped me as a student researcher