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Research Interests for Ayman R. Said

Research Interests: Analysis of PDEs, Mathematical Physics

My main work is at the interface between microlocal analysis and fluid mechanics, where I am interested in bringing in and developing robust paradifferential tools and techniques from microlocal analysis to study local and global well-posedness and blow up problems in fluid dynamics.

Current projects:
The study of local and global well-posedness and blow up problems in fluid dynamics, specifically the Water Wave system, the Euler equations and related models.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320