Calculus of Variations and Geometric Measure Theory
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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


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