For a better experience, click the Compatibility Mode icon above to turn off Compatibility Mode, which is only for viewing older websites.

David Ambrose

David M. Ambrose, PhD

Department of Mathematics
Office: Korman Center 290
Phone: 215.895.6247

Additional Sites:
Google Scholar


  • PhD, Mathematics, Duke University, 2002
  • MA, Mathematics, Duke University, 1999
  • MS, Mathematics, Carnegie Mellon University, 1997
  • BS, Mathematics and Economics, Carnegie Mellon University, 1997

Curriculum Vitae:

Download (PDF)

Research Interests:

  • Mathematical analysis
  • Fluid dynamics
  • Nonlinear partial differential equations
  • Boundary integral methods


David M. Ambrose works in mathematical analysis and scientific computing for nonlinear systems of partial differential equations arising in various applications, with a focus on moving-boundary problems in fluid dynamics. He has made contributions to the theory of the Euler and Navier-Stokes equations (including in settings with a free boundary), dispersive model equations, the Kuramoto-Sivashinsky equation and other models for the motion of flame fronts, equations with degenerate dispersion, and mean field games. With collaborators he has also designed and analyzed numerical algorithms for the motion of free surfaces in fluid dynamics. His work has resulted in more than 70 refereed journal publications and more than twenty years of continuous support from the National Science Foundation. He received the T. Brooke Benjamin Prize in Nonlinear Waves from the Society for Industrial and Applied Mathematics in 2018.

Dr. Ambrose first joined the Department of Mathematics at Drexel University in 2008. He was previously a faculty member at Clemson University and a Courant Instructor at the Courant Institute of New York University. He received his PhD under the supervision of J. Thomas Beale at Duke University in 2002.

Selected Publications: