Hello!
My name is Kevin Grady, and I recently received my Ph. D. in Atmospheric Science from Purdue University. My two great academic interests have always been atmospheric science and mathematics, and my research, which focuses on low-order models (LOMs) for problems of atmospheric convection and fluid dynamics, has allowed me to pursue both simultaneously. The governing equations for these problems consist of systems of nonlinear partial differential equations (PDEs), making their analysis quite difficult. LOMs seek to approximate these challenging equations with finite systems of nonlinear ordinary differential equations (ODEs). The most well-known example of a LOM is the celebrated Lorenz model of two-dimensional Rayleigh-Bénard convection (2D RBC). I have specifically studied a class of LOMs known as G-models, consisting of one or more coupled Volterra gyrostats. These G-models are guaranteed to preserve the energy conservation properties of the original PDEs, unlike LOMs derived using arbitrary methods. During my research, I have developed an algorithm using Mathematica to derive and study the structures of G-models, which I have used to study various problems of atmospheric dynamics, such as 2D and 3D RBC.
Email address: kevingrady4@gmail.com