scientific article; zbMATH DE number 1408394
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Publication:4941210
zbMath0989.76010arXivmath/9905009MaRDI QIDQ4941210
John B. Etnyre, Robert W. Ghrist
Publication date: 29 May 2000
Full work available at URL: https://arxiv.org/abs/math/9905009
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Euler equationscontact formthree-sphereSeifert conjecturetrivial knotReeb fieldsnonsingular Morse-Smale flowscharacteristic line fieldclosed flow linenontrivial Hamiltonian integraltime-independent nonsingular vector fieldunknotted orbits
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Existence of knotted vortex structures in stationary solutions of the Euler equations ⋮ The topology of Bott integrable fluids ⋮ Beltrami fields and knotted vortex structures in incompressible fluid flows ⋮ Typical field lines of Beltrami flows and boundary field line behaviour of Beltrami flows on simply connected, compact, smooth manifolds with boundary ⋮ Knots and links in steady solutions of the Euler equation ⋮ Selected topics on the topology of ideal fluid flows ⋮ Euler flows and singular geometric structures ⋮ Dynamics of two-dimensional time-periodic Euler fluid flows ⋮ Existence of knotted vortex tubes in steady Euler flows ⋮ Contact topology and hydrodynamics III: knotted orbits
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