### The McKean--Vlasov Equation in Finite Volume

- Series
- Math Physics Seminar
- Time
- Thursday, September 3, 2009 - 16:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Lincoln Chayes – UCLA – lchayes@math.ucla.edu

The McK--V system is a non--linear diffusion equation with a non--local
non--linearity provided by convolution. Recently popular in a variety
of applications, it enjoys an ancient heritage as a basis for
understanding equilibrium and near equilibrium fluids. The model is
discussed in finite volume where, on the basis of the physical
considerations, the correct scaling (for the model itself) is
identified. For dimension two and above and in large volume, the phase
structure of the model is completely elucidated in (somewhat
disturbing) contrast to dynamical results. This seminar represents
joint work with V. Panferov.