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 spinoff, this method generates
so
called generalized Sobolev inequalities. In this talk the
method
is presented and applied to:
1.(non) linear FokkerPlanck type models (from
collective physics and semiconductor
modeling, with mean field coupling),
2.degenerate parabolic systems of porous media, fast
diffusion and pLaplace
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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