Recently, significant progress has been made in the analysis of large time asymptotics of nonlinear (convection) diffusion equations by means of the entropy method. As spin-off, this method generates so called generalized Sobolev inequalities. In this talk the method is presented and applied to:

1.(non) linear Fokker-Planck type models (from collective physics and semiconductor modeling, with 
    mean field coupling),
2.degenerate parabolic systems of porous media, fast diffusion and p-Laplace type,
3.energy transport models from solid state physics.

Finally, visions for the application of generalized Sobolev inequalities to the large time asymptotics of kinetic equations are given.


Information:

     Date: Wednesday, October 9, 2002 at 15:00
   Place:School of Mathematics, Niavaran Bldg., Niavaran Square, Tehran, Iran

See some photos