Solutions to Monge-Kantorovich equations as stationary points of a dynamical system
最优化与控制
2007-05-23 v1 数值分析
摘要
Solutions to Monge-Kantorovich equations, expressing optimality condition in mass transportation problem with cost equal to distance, are stationary points of a critical-slope model for sand surface evolution. Using a dual variational formulation of sand model, we compute both the optimal transport density and Kantorovich potential as a stationary limit of evolving sand flux and sand surface, respectively.
引用
@article{arxiv.math/0507330,
title = {Solutions to Monge-Kantorovich equations as stationary points of a dynamical system},
author = {Leonid Prigozhin},
journal= {arXiv preprint arXiv:math/0507330},
year = {2007}
}
备注
7 pages, 3 figures