JournalsifbVol. 9 , No. 1DOI 10.4171/ifb/160

Optimal channel networks, landscape function and branched transport

  • Filippo Santambrogio

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

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.