Read some recent publications. See a preview of The Cahn-Hilliard Equation: From Backwards Diffusion to Surface Diffusion, drafts of: Table of Contents (pdf), Chapter 1(pdf), Chapter 4 (pdf), Chapter 14 (pdf). In preparation under contract with Cambridge University Press. See some recent theses: M.Sc. Thesis Anna Rotman M.Sc. Thesis Jaudat Rashed M.Sc. Thesis Vadim Derkach Some recent lectures: DSPDE-2010 SIAM-MS 2010 The PDE and Applied Math Seminar