Tue, February 19, 2019
Public Access Category: All |
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- Time:
- 3:30pm-5:00pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- PDE Seminar.
Speaker: Harsha Hutridurga.
Date and Time: Tuesday 19 February, 3.30pm - 5.00pm.
Venue: Room 215.
Title: Structure breaking by homogenization.
Abstract: In this talk, we will give an alternate (and constructive) proof
to a result of Luc Tartar which demonstrated the loss of semi-group
structure due to the presence of high frequency oscillations in
coefficients. The discussions will revolve around
(i) the notion of weak convergence in Lp spaces;
(ii) the notion of two-scale convergence in the theory of homogenization.
Furthermore, we shall discuss some interesting results in the context of
(i) structure breaking in other differential equations;
(ii) inverse homogenization.
We also intend to list some related open problems which are accessible to
available techniques.