Guher Camliyurt

My main area of interest is Partial Differential Equations with a particular focus on nonlinear dispersive equations and equations related to fluid dynamics.

Currently, I have been working on nonlinear dispersive equations. My research aims to study global well-posedness and scattering results for solutions to nonlinear wave equations via concentration-compactness and rigidity methods.

Additionally, a large part of my research addresses the incompressible Navier-Stokes and Euler equations, focusing on the analyticity and Gevrey regularity properties. Since they model a variety of physical phenomena, these equations have attracted the attention of physicists and engineers and have been the subject of intense mathematical study.

I am also interested in unique continuation problems for general elliptic and parabolic equations. My main focus has been on results that apply to the 2D or 3D Navier-Stokes system.