The Madden-Julian Oscillation is the major contributor to rainfall in tropical regions and influences the climate in Europe regularly. Unlike Hurricanes and El Niño, the mechanisms of the MJO are still not well understood. In an effort to understand the mechanisms of the MJO, I will describe a reduced order model of the MJO. This model is built starting from rotating hydrostatic Boussinesq fluid equations for the atmosphere. These equations are simplified through linearizations and projects which aim to capture large scale phenomena typical of the MJO. I will explain these approximations in detail. Then these equations are coupled to moisture in a simple way to give a linear PDE model of the MJO.
United States Naval Academy
Assistant Professor in the Department of Mathematics at the United States Naval Academy in Annapolis, MD.
I earned my Bachelor of Science with distinction at the University of Nebraska-Lincoln in May 2008. I did undergraduate research with Professor George Avalos on mathematical control theory and wrote an undergraduate thesis. I earned my Masters of Science from the University of Arizona in May 2010. My advisor was Professor Jan Wehr of the Mathematics Department at the University of Arizona. I completed and defended my dissertation titled “The Smoluchowski-Kramers Approximation for Stochastic Differential Equations with Arbitrary State Dependent Friction” and received my Ph.D. in Applied Mathematics in May 2013. From 2013-2016, I was a Postdoctoral Researcher in the Mathematics Department at the University of Wisconsin-Madison. I worked with Sam Stechmann on modeling the transition to strong convection using stochastic models.
- Stochastic Models of Phenomena in Atmospheric Sciences, Biology, and Physics.
- Stochastic Differential Equations.
- Interacting Particle Systems.