Ryan Thompson

Dr. Ryan Thompson is an Associate Professor of Mathematics at the University of North Georgia (UNG), specializing in Partial Differential Equations (PDEs) and Fluid Dynamics. He joined UNG in 2015 after completing his Ph.D. in Mathematics at the University of Notre Dame (2015) and earlier degrees from the same institution and North Georgia College & State University (B.S., 2009).

His research focuses on shallow water wave theory, analyzing equations governing fluid motion such as the Euler and Navier-Stokes equations. Key interests include dispersive PDEs, nonlinear evolution equations, and the Cauchy problem for hydrodynamic systems. He has advised multiple senior projects in differential equations and fluid analysis.

Teaching excellence is central to his career, with a pedagogy emphasizing student collaboration and deep conceptual understanding. He collaborates closely with colleagues to optimize curriculum and maintain a student-focused academic environment.

Publications span topics like the Fornberg-Whitham equation, Gurevich-Zybin system, and Camassa-Holm models, addressing well-posedness, continuity properties, and solution behavior in Besov spaces. His work bridges theoretical PDE analysis with applied fluid dynamics challenges.