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Arnold's conjecture on chaotic trajectories in Beltrami flows
Arnold's conjecture. Beltrami flows can exhibit Lagrangian turbulence and chaotic behavior of trajectories. Several numerical studies support this possibility. This conjecture conc…
Conjecturesolvedbeltrami-flows chaos fluid-dynamicsarXiv posted 2 days ago
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Decomposition conjecture for the orbit type $\mathcal{O}_6^{(1)}$
Let $\mathcal{O}_6^{(1)}$ be an orbit of the indicated type, and let $D_2$ , $D_3$ , $D_{5b}$ , and $D_5$ denote the corresponding irreducible representations. A component is planar w…
Conjectureopenbeltrami-flows dynamical-systems representation-theoryarXiv posted 2 days ago

Arnold's conjecture on chaotic trajectories in Beltrami flows