70 citations · 316 across the 56 of their papers we have counts for
Showing 1999 · math.DSShow all
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math.DS1999★ 3 cited
Stratified integrals and unknots in invisid flows
John B. Etnyre, Robert W. Ghrist
We prove that any steady solution to the real analytic Euler equations on a Riemannian 3-sphere must possess a periodic orbit bounding an embedded disc. One key ingredient is an ex…
math.DS1999
Gradient flows within plane fields
John Etnyre, Robert Ghrist
We consider the dynamics of vector fields on three-manifolds which are constrained to lie within a plane field, such as occurs in nonholonomic dynamics. On compact manifolds, such…