36 citations · 112 across the 13 of their papers we have counts for
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math.OC2016★ 1 cited
Weak and Strong Solutions to the Inverse-Square Brachistochrone Problem on Circular and Annular Domains
Christopher Grimm, John A. Gemmer
In this paper we study the brachistochrone problem in an inverse-square gravitational field on the unit disk. We show that the time optimal solutions consist of either smooth stron…
cond-mat.soft2016★ 21 cited
Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
John Gemmer, Eran Sharon, Toby Shearman +1
The edges of torn plastic sheets and growing leaves often display hierarchical buckling patterns. We show that this complex morphology (i) emerges even in zero strain configuration…