Geodesic
Optimal channel networks, landscape function and branched transport
Filippo Santambrogio1 orcid
1Scuola Normale Superiore, Pisa, Italy
Interfaces and free boundaries, Tome 9 (2007) no. 1, pp. 149-169

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DOI

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.
DOI : 10.4171/ifb/160
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Filippo Santambrogio  1

1 Scuola Normale Superiore, Pisa, Italy 
Filippo Santambrogio. Optimal channel networks, landscape function and branched transport. Interfaces and free boundaries, Tome 9 (2007) no. 1, pp. 149-169. doi: 10.4171/ifb/160
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     year = {2007},
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     number = {1},
     doi = {10.4171/ifb/160},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/160/}
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