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Martin Heida
| Speaker: |
Martin Heida (University of
Heidelberg)
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| Date: |
Wednesday February 23, 2011
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| Title: |
A
generalization of the asymptotic expansion method to non-periodic
geometries
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Abstract
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Asymptotic
expansion
is a tool that is used for formal homogenization of PDE's on
domains with ε-periodic micro structures. Based on recent advances in
stochastic homogenization, the method will be generalized to ergodic
and stationary stochastic geometries that are scaled by ε but which are
not periodic. To this aim, we will point out relations between
stochastic and periodic geometries and between stochastic and periodic
mathematical homogenization. The method will be applied to some
standard examples like diffusion equations with nonlinear boundary
conditions or the Navier-Stokes equation.
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