Nonlinear Partial Differential Equations: recent advances and future directions

The focus will be on the interaction of experts in diverse directions working on nonlinear partial differential equations, and other applied sciences. Our primary goal is to expose a limited number of postdoctoral fellows and advanced graduate students to current problems associated with nonlinear partial differential equations, and to highlight some of the recent mathematical advances in Navier-Stokes equations, nonlinear diffusion and kinetic equations, Einstein vacuum equations, De Giorgi conjecture, spikes and higher dimensional concentration phenomena, reaction-diffusion systems and localized behavior in mathematical biology, etc.