47 citations · 231 across the 47 of their papers we have counts for
4 papers · 1 filter
Dynamics of Particles on a Curve with Pairwise Hyper-singular Repulsion
Douglas Hardin, Edward B. Saff, Ruiwen Shu +1
We investigate the large time behavior of particles restricted to a smooth closed curve in and subject to a gradient flow with respect to Euclidean hyper-singula…
Asymptotic properties of short-range interaction functionals
Douglas Hardin, Edward B. Saff, Oleksandr Vlasiuk
We describe a framework for extending the asymptotic behavior of a short-range interaction from the unit cube to general compact subsets of . This framework allows u…
Divergence-free measures in the plane and inverse potential problems in divergence form
L. Baratchart, D. Hardin, C. Villalobos-Guillén
We show that a divergence-free measure on the plane is a continuous sum of unit tangent vector fields on rectifiable Jordan curves. This loop decomposition is more precise than the…
On the Search for Tight Frames of Low Coherence
Xuemei Chen, Douglas P. Hardin, Edward B. Saff
We introduce a projective Riesz -kernel for the unit sphere and investigate properties of -point energy minimizing configurations for such a kernel. We sho…