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Exact and optimal controllability for scalar conservation laws with discontinuous flux

Dr. Shyam Sundar Ghoshal TIFR-CAM
Speaker
Dr. Shyam Sundar Ghoshal TIFR-CAM
When Feb 21, 2017
from 04:00 PM to 05:00 PM
Where LH 006
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Abstract:  This talk is concerned with an optimal control problem and the description of the reachable set by initial data control of scalar conservation law with discontinuous flux, where the flux has single point of discontinuity.  Regarding the optimal control problem we first prove the existence of a minimizer and then we prescribe a backward algorithm to compute this.  The same method also then applies to compute the initial data control.  This method works due to the non existence of rarefaction from the interface.

This is a joint work with Adimurthi and P. Marcati.