APRG Seminar

Title: Dirichlet spectral problem in a thin domain with a periodically oscillating boundary
Speaker: Klas Pettersson (UiT – The Arctic University of Norway, Narvik, Norway)
Date: 06 November 2019
Time: 11 am
Venue: LH-1, Mathematics Department

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.


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Nov 2019