Seminar Technomathematik SS 2002

Seminar Technomathematik SS 2002

Theory and Applications of Homogenization

Aim

How to calculate heat transfer through Poroton or layered material?
How to describe the flow of ground water through sand?
Why can foam be used for sound absorbtion?

All these questions lead to homogenization problems, i.e. to partial differential equations where either the coefficients or the geometry is given by rapidly varying functions. In the seminar, the basic idea of homogenization is explained with several examples. The mathematical tools include methods of asymptotic analysis. The justification of formal asymptotic expansions then leads to the mathematical theory of homogenization with two-scale convergence, G-, Gamma- and H- convergence.

Prerequisites

Interest in partial differential equations
Interest in asymptotic analysis
Interest in (useful) functional analysis

Literature

Homogenization and Porous Media, Ulrich Hornung, Springer 1997

Preliminary Meetings

20.02.2002 at 13:15 in 48/577

Bad date? Please email to junk@mathematik.uni-kl.de or come along!

Language
English

When and where?
We meet every Monday at 08:15 in 44/482 starting 13.05.2002