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arXiv · 1604.02637

A harmonic maps approach to fluid flows

Olivia Constantin·María Martín
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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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Olivia Constantin, María Martín. 2016-04-10. A harmonic maps approach to fluid flows. https://arxiv.org/abs/1604.02637

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