PHYSICAL MATHEMATICS SEMINAR TOPIC: EQUATIONS WITH SINGULAR DIFFUSIVITY SPEAKER: ALEXANDER LOBKOVSKY National Institute of Standard and Technology ABSTRACT: The phenomenological free energy in a Ginzburg-Landau type model of crystal grains contains a non analytic term. The gradient flow of this free energy must therefore be interpreted in the expended gradient sense. There is a way to prescribe temporal evolution to ensure uniqueness of the solution for any initial conditions. The structure of the solution can be interpreted as a collection of grains separated by grain boundaries. DATE: TUESDAY, MARCH 6, 2001 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Room 2-349. Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139