Dr. El Smaily’s research interests lie primarily in partial differential equations (PDE) and nonlinear analysis. Part of his work focusses on the analysis reaction-diffusion PDE, which arise from population dynamics, mixing and dispersal in heterogeneous frameworks for instance. A rigorous analysis of these models requires tools from functional analysis, elliptic/parabolic PDE theory and spectral analysis. Other interests lie in integro-differential equations, which can be studied using analytic methods that are analogous to those used in nonlinear parabolic and parabolic PDE. More details can be found on his publications list.