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APRG Seminar

Title: Optimal control and homogenization of semi-linear parabolic problems with highly oscillatory coefficients in a pillar-type domain
Speaker: Bidhan Chandra Sardar (IIT Ropar)
Date: 24 May 2024
Time: 10 am
Venue: LH-1, Mathematics Department

This talk considers an optimal control problem governed by a semi-linear heat equation within a two-dimensional pillar-type domain $\Omega_{\epsilon}$ .The problem features highly oscillatory periodic coefficients in both the state equation and the cost function $A_\epsilon$ and $B_\epsilon$. Our objective is to analyze the convergence of the optimal solutions (as $\epsilon \to 0$ ) and to identify the limit of the optimal control problem in a fixed domain that effectively captures the impact of the oscillatory coefficients.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 19 Jun 2024