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A harmonic maps approach to fluid flows

Published 10 Apr 2016 in math-ph, math.CV, and math.MP | (1604.02637v1)

Abstract: We obtain a complete solution to the problem of classifying all two-dimensional ideal fluid flows with harmonic Lagrangian labelling maps; thus, we explicitly provide all solutions, with the specified structural property, to the incompressible two-dimensional Euler equations (in Lagrangian variables).

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