TITLE

# Extended least action principle for steady flows under a prescribed flux

AUTHOR(S)
Wolansky, G.
PUB. DATE
March 2008
SOURCE
Calculus of Variations & Partial Differential Equations;Mar2008, Vol. 31 Issue 3, p277
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
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 Mongeâ€“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.
ACCESSION #
27960662

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