Title:
Minimizing Flows for the Monge–Kantorovich Problem
Minimizing Flows for the Monge–Kantorovich Problem
Author(s)
Angenent, Sigurd
Haker, Steven
Tannenbaum, Allen R.
Haker, Steven
Tannenbaum, Allen R.
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Abstract
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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Date Issued
2003
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Article