Calculus of Variations and Geometric Measure Theory

F. Santambrogio

Optimal Channel Networks, Landscape Function and Branched Transport

created by santambro on 29 May 2006
modified on 18 Apr 2007


Published Paper

Inserted: 29 may 2006
Last Updated: 18 apr 2007

Journal: Interfaces and Free Boundaries
Volume: 9
Pages: 149-169
Year: 2007


Starting from transportation models for branching structures, we define a function that represents the elevation of the landscape in a river basin. This function is already well-known in the geophysical community but it is only considered under a very strong discretization. We generalize it to the continuous case and study its properties, providing several applications.

Keywords: transportation network, Irrigation, River basins, Kantorovich potential