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The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids
The link between the Euler equations of perfect incompressible flows and the Least Action Principle has been known for a long time [1]. Solutions can be considered as geodesic curves along the manifold of volume preserving mappings. Here the âshortest path problemâ is investigated. Given two different volume preserving mappings …