David M Ambrose

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.