3 problems

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The comparison-principle failure conjecture for the true rod functions
Let $a$ and $b$ be the “true” rod functions given in the definition of the rod coefficients. The associated operator is of the form … A comparison principle means that, for every i…
Conjectureopencalculus-of-variations elastic-rods ordinary-differential-equationsarXiv posted 2 days ago
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The ply minimizer conjecture for long closed elastic rods
Closed elastic rods are subject to a constant twist, and their energy is minimized among admissible rod configurations. A ply is a double helix with a loop on each end. Ply minimiz…
Conjectureopencalculus-of-variations elastic-rods self-contactarXiv posted 2 days ago
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The elastic-rod conjecture for Skyrme–Faddeev solitons
The Skyrme–Faddeev model is a field theory whose solitons are studied here, and Kirchhoff elastic rods provide an effective model for elastic rod configurations. Elastic-rod conjec…
Conjectureopenelastic-rods skyrme-faddeev-model solitonsarXiv posted 2 days ago

The comparison-principle failure conjecture for the true rod functions