Inserted: 29 may 2006
Last Updated: 18 apr 2007
Journal: Interfaces and Free Boundaries
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