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arXiv · 2004.14359

Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds

Radu Slobodeanu
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Abstract

We present new steady Euler solutions on the (round) 3-sphere, that bifurcate from an ansatz proposed by Khesin, Kuksin and Peralta-Salas, showing that these previously known solutions are not isolated. We also extend this ansatz to any Sasakian 3-manifold, such as the Heisenberg group and $SL(2, \mathbb{R})$.

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BibTeXRIS

Radu Slobodeanu. 2020-04-29. Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds. https://doi.org/10.1007/s12346-020-00440-y

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