JournalsifbVol. 9, No. 1pp. 149–169

Optimal channel networks, landscape function and branched transport

  • Filippo Santambrogio

    Scuola Normale Superiore, Pisa, Italy
Optimal channel networks, landscape function and branched transport cover
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Abstract

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.

Cite this article

Filippo Santambrogio, Optimal channel networks, landscape function and branched transport. Interfaces Free Bound. 9 (2007), no. 1, pp. 149–169

DOI 10.4171/IFB/160