A Modica-Mortola approximation for branched transport

Details A Modica-Mortola approximation for branched transport A Modica-Mortola approximation for branched transport

2009-09-16

arxiv.org/abs/0909.2930v1

Mathematics

Optimization and Control

Scientific paper

The M^\alpha energy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and convergence is proved) by means of a sequence of elliptic energies, defined on more regular vector fields. The procedure recalls the Modica-Mortola one for approximating the perimeter, and the double-well potential is replaced by a concave power.

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