The McKean--Vlasov Equation in Finite Volume

Math Physics Seminar
Thursday, September 3, 2009 - 4:00pm for 1 hour (actually 50 minutes)
Skiles 269
Lincoln Chayes – UCLA –
Michael Loss
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.