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arxiv: 1604.02637 · v1 · pith:DMSJ6FB2new · submitted 2016-04-10 · 🧮 math-ph · math.CV· math.MP

A harmonic maps approach to fluid flows

classification 🧮 math-ph math.CVmath.MP
keywords flowsfluidharmoniclagrangianmapstwo-dimensionalapproachclassifying
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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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