International Centre for Theoretical Sciences - TIFR
Survey No. 151, Shivakote Village, Hesaraghatta Hobli, Bengaluru (North) - 560089 Tel: +91 80 4653 6000 Fax: +91 80 4653 6002
Email: [email protected] Website: www.icts.res.in
ICTS Probability Seminar
Title : Towards Darcy's Law in Random Media
Speaker : Sanchit Chaturvedi, New York University, USA
Date : Wednesday, August, 8, 2018 Time : 3:30 PM
Venue : Amal Raychaudhuri Meeting Room, ICTS Campus, Bangalore
Abstract : We consider Laplace's equation on a domain with holes(both random and periodic) and prove that under the right scaling for the holes and the distance between holes, we get an extra strange term appearing in the homogenized equation. The rates of convergences as the size of the holes go to zero are quantified via an obstacle problem perspective.
We believe that this method is robust enough to take care of more general hole geometries and arrangement.
