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Minimizing Flows for the Monge–Kantorovich Problem

Authors
  • Angenent, Sigurd
  • Haker, Steven
  • Tannenbaum, Allen R.
Publication Date
Jan 01, 2003
Source
Scholarly Materials And Research @ Georgia Tech
Keywords
License
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Abstract

©2003 Society for Industrial and Applied Mathematics. Permalink: http://dx.doi.org/10.1137/S0036141002410927 / DOI: 10.1137/S0036141002410927 / In this work, we formulate a new minimizing flow for the optimal mass transport (Monge–Kantorovich) problem. We study certain properties of the flow, including weak solutions as well as short- and long-term existence. Optimal transport has found a number of applications, including econometrics, fluid dynamics, cosmology, image processing, automatic control, transportation, statistical physics, shape optimization, expert systems, and meteorology.

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