Differential Equations

The subject of differential equations is a truly multi-disciplinary area. It ranges from how to use mathematical tools to describe various industrial and engineering processes, the so-called mathematical modeling, to mathematical analysis of these models. Real-life problems can lead to deep and intriguing mathematical questions. They often appear in the form of differential equations such as Navier-Stokes equations, Maxwell's equations, and so on. We have a number of faculty members whose research deals with these subjects.  They investigate such questions as existence, uniqueness, regularity, and large time behavior of solutions to these equations.