The optimal reinforcement for a membrane and low congested regions.
We study how to rigidify an elastic membrane under the action of an exterior load $f$ and fixed at its boundary by adding a one-dimensional reinforcement in the most efficient way; the reinforcement is described by a one-dimensional set $S\subset\Omega$ which varies in a suitable class of admissible choices. We consider also the dual problem of a given region $\Omega$ where the traffic flows according to two regimes: in a region $C$ we have a low congestion, where in the remaining part $\Omega\setminus C$ the congestion is higher. The two congestion functions $H_1$ and $H_2$ are given, but the region $C$ has to be determined in an optimal way in order to minimize the total transportation cost. http://cvgmt.sns.it/seminar/474/
When
Wed Oct 14, 2015 1:30pm – 2:30pm Coordinated Universal Time
