David M Ambrose

David M Ambrose is a Professor in the Department of Mathematics at Drexel University's College of Arts and Sciences. His research focuses on mathematical analysis and computational methods for nonlinear partial differential equations in fluid dynamics, with emphasis on free boundary problems, vortex sheets, and mean field games.

• PhD in Mathematics, Duke University
• MS in Mathematics, Carnegie Mellon University
• BS in Mathematics and Economics, Carnegie Mellon University
• MA in Mathematics, Duke University

A leading expert in fluid dynamics and nonlinear PDEs, Ambrose investigates problems like the Euler and Navier-Stokes equations, Kuramoto-Sivashinsky equation for flame fronts, and mean field games modeling economic interactions. His work bridges analytical theory with numerical algorithm development for interfacial flows and singularity formation.

Recent publications span topics such as time-periodic solutions of the Benjamin-Ono equation, vortex sheet dynamics with surface tension, and non-separable mean field games. The 2018 T. Brooke Benjamin Prize in Nonlinear Waves from SIAM recognized his contributions to dispersive systems.

• NSF Grant DMS-2307638: Well-Posedness and Singularity Formation in Free Boundary Problems
• NSF Grant DMS-1907684: Mean Field Games with Partial Differential Equations
• NSF Grant DMS-1515849: Dynamics of Dispersive PDE

He co-organizes the Drexel Waves Workshop series, most recently in 2023, advancing collaborative research in dispersive wave phenomena and fluid dynamics.