Optimal irrigation problems and biological applications
Speaker: Alberto Bressan, PSU
Abstract: Given N points in the plane, the Steiner problem (dating back to Gauss) consists in finding the shortest connected set of line segments that contains all these points. In a similar problem proposed by Gilbert, N houses must be connected to a well by a network of pipes, minimizing a cost which accounts for the length of each pipe and also for the corresponding flux of water. This talk will cover a more general irrigation problem, where the final distribution of water (instead of N point masses) is any given Radon measure. Applications to the optimal shapes of tree roots and tree branches will be discussed.
Room Reservation Information
Room Number: 114 McAllister
Time: 12:00pm - 1:30pm