David M. Ambrose
Professor
Department of Mathematics
Drexel University
United States of America
Biography
David Ambrose earned his PhD in 2002 from Duke University, under the supervision of J. Thomas Beale. Before joining Drexel, he was a Courant Instructor at NYU's Courant Institute and a faculty member at Clemson University.
Research Interest
Applied analysis and scientific computing for nonlinear systems of partial differential equations, especially free-surface problems in fluid dynamics
Publications
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"Local existence theory for derivative nonlinear Schr¨odinger equations with non-integer power nonlinearities. D.M. Ambrose and G. Simpson. SIAM Journal on Mathematical Analysis, 47:2241-2264, 2015."
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"Serfati solutions to the 2D Euler equations on exterior domains. D.M. Ambrose, J.P. Kelliher, M.C. Lopes Filho, and H.J. Nussenzveig Lopes. Journal of Differential Equations, 259:4509-4560, 2015."
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"Global bifurcation theory for periodic traveling interfacial gravity-capillary waves. D.M. Ambrose, W.A. Strauss, and J.D. Wright. Accepted, Annales de l’Institut Henri Poincar´e (C) Analyse Non Lin´eaire, 2015"
