Thu, February 14, 2019
Public Access Category: All |
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- Time:
- 11:00am-12:30pm
- Location:
- Room No. 105 Department of Mathematics
- Description:
- PDE Seminar.
Speaker: Harsha Hutridurga.
Date and Time: Thursday 14 February, 11.00am - 12.30pm.
Venue: Room 105.
Title: Neutron Transport meets Luc Tartar.
Abstract: In this talk, we will address the homogenization of a neutron
transport model while the scattering coefficients in the equation exhibit
rapid oscillations with respect to the energy variable.
It turns out that this problem has very close links to a result of Luc
Tartar from late 1980's. Hence we will be revisiting this paper of Luc
Tartar.
Our discussions will revolve around
(i) Laplace transform and Bernstein's theorem from the theory of Regular
variation
(ii) Nevanlinna-Herglotz function from complex analysis
(iii) Two-scale convergence and Young measures from the theory of
homogenization.
This talk is based on a recent preprint:
Harsha Hutridurga, Olga Mula, Francesco Salvarani,
Homogenization in the energy variable for a neutron transport model,
arXiv:1901.10164
Weblink: https://arxiv.org/pdf/1901.10164.pdf