“Bulletin Board”

 School of Mathematics - October 9, 2002

Mathematical Talk

The Entropy Method for Diffusive Equations

Peter A. Markowich
Institute of Mathematics
University of Vienna

October 9, 2002
15:00 - 17:00
School of Mathematics, IPM

 
 
The Entropy Method for Diffusive Equations

Peter A. Markowich
Institute of Mathematics
University of Vienna
Abstract:

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

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