Extended least action principle for steady flows under a prescribed flux

Wolansky, G.
March 2008
Calculus of Variations & Partial Differential Equations;Mar2008, Vol. 31 Issue 3, p277
Academic Journal
The extended principle of minimal action is described in the presence of prescribed source and sink points. Under the assumption of zero net flux, it leads to an optimal Monge–Kantorovich transport problem of metric type. We concentrate on action corresponding to a mechanical Lagrangian. The optimal solution turns out to be a measure supported on a graph composed of geodesic arcs connecting pairs of sources and sinks.


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