Dirichlet spectral problem in a thin domain with a periodically oscillating boundary
Prof. Klas Pettersson,
UiT- The Arctic University of Norway, Narvik, Norway
| Speaker |
Prof. Klas Pettersson,
UiT- The Arctic University of Norway, Narvik, Norway
|
|---|---|
| When |
Nov 07, 2019
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
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Abstract: We describe the leading terms in the asymptotic behavior of the eigenvalues and the eigenfunctions to an elliptic Dirichlet spectral problem in a thin finite cylindrical domain with a periodically oscillating boundary by means of homogenization. Under suitable scaling and structure assumptions, the eigenfunctions show oscillatory behavior, and asymptotically localize with a profile solving a diffusion equation with quadratic potential on the real line. Methods for analysis of spectral asymptotics for heterogeneous media will be briefly discussed.