A Modica-Mortola approximation for branched transport Export

@article{citeulike:5794031, abstract = {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.}, archivePrefix = {arXiv}, author = {Santambrogio, Filippo}, citeulike-article-id = {5794031}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.2930}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.2930}, day = {16}, eprint = {0909.2930}, keywords = {1d, transport, tree}, month = {Sep}, posted-at = {2009-09-18 09:10:27}, priority = {2}, title = {A Modica-Mortola approximation for branched transport}, url = {http://arxiv.org/abs/0909.2930}, year = {2009} }

TY - JOUR ID - citeulike:5794031 L3 - citeulike-article-id:5794031 N2 - 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. TI - A Modica-Mortola approximation for branched transport KW - 1d KW - transport KW - tree AU - Santambrogio, Filippo PY - 2009/Sep/16/ UR - http://arxiv.org/abs/0909.2930 ER -