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.