A commonly used mathematical model for jet engines that captures the flow behavior of a compression system, known as the viscous Moore-Greitzer PDE model, consists of a PDE and two ODEs. The PDE ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Dr. Julien's primary areas of research are in the dynamics and instability processes in geophysical and astrophysical fluid dynamics. These include turbulent fluid convection and the effects of ...

The dynamics of wealth are not fully understood. In order to gain insight on these dynamics, we can use mathematical models. One application of modeling wealth distribution is gentrification.