My research is in fluid dynamics, dispersive equations, diļ¬erential geometry, harmonic analysis, and mathematical physics. I have worked on well-posedness and global behavior for mild solutions to the Navier-Stokes equation on the hyperbolic space, and global well-posedness and scattering properties for the Maxwell-Klein-Gordon system in two-dimensions.
keywords
Fluid dynamics, parabolic and dispersive PDE, harmonic analysis, differential geometry, mathematical physics, semigroup theory
